diff --git a/include/linux/bpf_mem_alloc.h b/include/linux/bpf_mem_alloc.h
index aaf004d943228..e45162ef59bb1 100644
--- a/include/linux/bpf_mem_alloc.h
+++ b/include/linux/bpf_mem_alloc.h
@@ -33,6 +33,9 @@ int bpf_mem_alloc_percpu_init(struct bpf_mem_alloc *ma, struct obj_cgroup *objcg
 int bpf_mem_alloc_percpu_unit_init(struct bpf_mem_alloc *ma, int size);
 void bpf_mem_alloc_destroy(struct bpf_mem_alloc *ma);
 
+/* Check the allocation size for kmalloc equivalent allocator */
+int bpf_mem_alloc_check_size(bool percpu, size_t size);
+
 /* kmalloc/kfree equivalent: */
 void *bpf_mem_alloc(struct bpf_mem_alloc *ma, size_t size);
 void bpf_mem_free(struct bpf_mem_alloc *ma, void *ptr);
diff --git a/kernel/bpf/helpers.c b/kernel/bpf/helpers.c
index ca3f0a2e5ed50..3d45ebe8afb48 100644
--- a/kernel/bpf/helpers.c
+++ b/kernel/bpf/helpers.c
@@ -2851,21 +2851,47 @@ struct bpf_iter_bits {
 	__u64 __opaque[2];
 } __aligned(8);
 
+#define BITS_ITER_NR_WORDS_MAX 511
+
 struct bpf_iter_bits_kern {
 	union {
-		unsigned long *bits;
-		unsigned long bits_copy;
+		__u64 *bits;
+		__u64 bits_copy;
 	};
-	u32 nr_bits;
+	int nr_bits;
 	int bit;
 } __aligned(8);
 
+/* On 64-bit hosts, unsigned long and u64 have the same size, so passing
+ * a u64 pointer and an unsigned long pointer to find_next_bit() will
+ * return the same result, as both point to the same 8-byte area.
+ *
+ * For 32-bit little-endian hosts, using a u64 pointer or unsigned long
+ * pointer also makes no difference. This is because the first iterated
+ * unsigned long is composed of bits 0-31 of the u64 and the second unsigned
+ * long is composed of bits 32-63 of the u64.
+ *
+ * However, for 32-bit big-endian hosts, this is not the case. The first
+ * iterated unsigned long will be bits 32-63 of the u64, so swap these two
+ * ulong values within the u64.
+ */
+static void swap_ulong_in_u64(u64 *bits, unsigned int nr)
+{
+#if (BITS_PER_LONG == 32) && defined(__BIG_ENDIAN)
+	unsigned int i;
+
+	for (i = 0; i < nr; i++)
+		bits[i] = (bits[i] >> 32) | ((u64)(u32)bits[i] << 32);
+#endif
+}
+
 /**
  * bpf_iter_bits_new() - Initialize a new bits iterator for a given memory area
  * @it: The new bpf_iter_bits to be created
  * @unsafe_ptr__ign: A pointer pointing to a memory area to be iterated over
  * @nr_words: The size of the specified memory area, measured in 8-byte units.
- * Due to the limitation of memalloc, it can't be greater than 512.
+ * The maximum value of @nr_words is @BITS_ITER_NR_WORDS_MAX. This limit may be
+ * further reduced by the BPF memory allocator implementation.
  *
  * This function initializes a new bpf_iter_bits structure for iterating over
  * a memory area which is specified by the @unsafe_ptr__ign and @nr_words. It
@@ -2892,6 +2918,8 @@ bpf_iter_bits_new(struct bpf_iter_bits *it, const u64 *unsafe_ptr__ign, u32 nr_w
 
 	if (!unsafe_ptr__ign || !nr_words)
 		return -EINVAL;
+	if (nr_words > BITS_ITER_NR_WORDS_MAX)
+		return -E2BIG;
 
 	/* Optimization for u64 mask */
 	if (nr_bits == 64) {
@@ -2899,10 +2927,15 @@ bpf_iter_bits_new(struct bpf_iter_bits *it, const u64 *unsafe_ptr__ign, u32 nr_w
 		if (err)
 			return -EFAULT;
 
+		swap_ulong_in_u64(&kit->bits_copy, nr_words);
+
 		kit->nr_bits = nr_bits;
 		return 0;
 	}
 
+	if (bpf_mem_alloc_check_size(false, nr_bytes))
+		return -E2BIG;
+
 	/* Fallback to memalloc */
 	kit->bits = bpf_mem_alloc(&bpf_global_ma, nr_bytes);
 	if (!kit->bits)
@@ -2914,6 +2947,8 @@ bpf_iter_bits_new(struct bpf_iter_bits *it, const u64 *unsafe_ptr__ign, u32 nr_w
 		return err;
 	}
 
+	swap_ulong_in_u64(kit->bits, nr_words);
+
 	kit->nr_bits = nr_bits;
 	return 0;
 }
@@ -2930,17 +2965,16 @@ bpf_iter_bits_new(struct bpf_iter_bits *it, const u64 *unsafe_ptr__ign, u32 nr_w
 __bpf_kfunc int *bpf_iter_bits_next(struct bpf_iter_bits *it)
 {
 	struct bpf_iter_bits_kern *kit = (void *)it;
-	u32 nr_bits = kit->nr_bits;
-	const unsigned long *bits;
-	int bit;
+	int bit = kit->bit, nr_bits = kit->nr_bits;
+	const void *bits;
 
-	if (nr_bits == 0)
+	if (!nr_bits || bit >= nr_bits)
 		return NULL;
 
 	bits = nr_bits == 64 ? &kit->bits_copy : kit->bits;
-	bit = find_next_bit(bits, nr_bits, kit->bit + 1);
+	bit = find_next_bit(bits, nr_bits, bit + 1);
 	if (bit >= nr_bits) {
-		kit->nr_bits = 0;
+		kit->bit = bit;
 		return NULL;
 	}
 
diff --git a/kernel/bpf/memalloc.c b/kernel/bpf/memalloc.c
index b3858a76e0b35..146f5b57cfb1c 100644
--- a/kernel/bpf/memalloc.c
+++ b/kernel/bpf/memalloc.c
@@ -35,6 +35,8 @@
  */
 #define LLIST_NODE_SZ sizeof(struct llist_node)
 
+#define BPF_MEM_ALLOC_SIZE_MAX 4096
+
 /* similar to kmalloc, but sizeof == 8 bucket is gone */
 static u8 size_index[24] __ro_after_init = {
 	3,	/* 8 */
@@ -65,7 +67,7 @@ static u8 size_index[24] __ro_after_init = {
 
 static int bpf_mem_cache_idx(size_t size)
 {
-	if (!size || size > 4096)
+	if (!size || size > BPF_MEM_ALLOC_SIZE_MAX)
 		return -1;
 
 	if (size <= 192)
@@ -1005,3 +1007,13 @@ void notrace *bpf_mem_cache_alloc_flags(struct bpf_mem_alloc *ma, gfp_t flags)
 
 	return !ret ? NULL : ret + LLIST_NODE_SZ;
 }
+
+int bpf_mem_alloc_check_size(bool percpu, size_t size)
+{
+	/* The size of percpu allocation doesn't have LLIST_NODE_SZ overhead */
+	if ((percpu && size > BPF_MEM_ALLOC_SIZE_MAX) ||
+	    (!percpu && size > BPF_MEM_ALLOC_SIZE_MAX - LLIST_NODE_SZ))
+		return -E2BIG;
+
+	return 0;
+}
diff --git a/tools/testing/selftests/bpf/progs/verifier_bits_iter.c b/tools/testing/selftests/bpf/progs/verifier_bits_iter.c
index f4da4d508ddb9..156cc278e2fc9 100644
--- a/tools/testing/selftests/bpf/progs/verifier_bits_iter.c
+++ b/tools/testing/selftests/bpf/progs/verifier_bits_iter.c
@@ -15,6 +15,8 @@ int bpf_iter_bits_new(struct bpf_iter_bits *it, const u64 *unsafe_ptr__ign,
 int *bpf_iter_bits_next(struct bpf_iter_bits *it) __ksym __weak;
 void bpf_iter_bits_destroy(struct bpf_iter_bits *it) __ksym __weak;
 
+u64 bits_array[511] = {};
+
 SEC("iter.s/cgroup")
 __description("bits iter without destroy")
 __failure __msg("Unreleased reference")
@@ -110,16 +112,16 @@ int bit_index(void)
 }
 
 SEC("syscall")
-__description("bits nomem")
+__description("bits too big")
 __success __retval(0)
-int bits_nomem(void)
+int bits_too_big(void)
 {
 	u64 data[4];
 	int nr = 0;
 	int *bit;
 
 	__builtin_memset(&data, 0xff, sizeof(data));
-	bpf_for_each(bits, bit, &data[0], 513) /* Be greater than 512 */
+	bpf_for_each(bits, bit, &data[0], 512) /* Be greater than 511 */
 		nr++;
 	return nr;
 }
@@ -151,3 +153,56 @@ int zero_words(void)
 		nr++;
 	return nr;
 }
+
+SEC("syscall")
+__description("huge words")
+__success __retval(0)
+int huge_words(void)
+{
+	u64 data[8] = {0x1, 0x1, 0x1, 0x1, 0x1, 0x1, 0x1, 0x1};
+	int nr = 0;
+	int *bit;
+
+	bpf_for_each(bits, bit, &data[0], 67108865)
+		nr++;
+	return nr;
+}
+
+SEC("syscall")
+__description("max words")
+__success __retval(4)
+int max_words(void)
+{
+	volatile int nr = 0;
+	int *bit;
+
+	bits_array[0] = (1ULL << 63) | 1U;
+	bits_array[510] = (1ULL << 33) | (1ULL << 32);
+
+	bpf_for_each(bits, bit, bits_array, 511) {
+		if (nr == 0 && *bit != 0)
+			break;
+		if (nr == 2 && *bit != 32672)
+			break;
+		nr++;
+	}
+	return nr;
+}
+
+SEC("syscall")
+__description("bad words")
+__success __retval(0)
+int bad_words(void)
+{
+	void *bad_addr = (void *)(3UL << 30);
+	int nr = 0;
+	int *bit;
+
+	bpf_for_each(bits, bit, bad_addr, 1)
+		nr++;
+
+	bpf_for_each(bits, bit, bad_addr, 4)
+		nr++;
+
+	return nr;
+}