5256 has 24 divisors (see below), whose sum is σ = 14430. Its totient is φ = 1728.

The previous prime is 5237. The next prime is 5261. The reversal of 5256 is 6525.

Added to its reverse (6525) it gives a triangular number (11781 = T₁₅₃).

5256 = 11³ + 12³ + 13³.

It can be written as a sum of positive squares in only one way, i.e., 4356 + 900 = 66^2 + 30^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an alternating number because its digits alternate between odd and even.

It is a plaindrome in base 16.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 5256.

It is an unprimeable number.

5256 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 36 + ... + 108.

2⁵²⁵⁶ is an apocalyptic number.

It is a pronic number, being equal to 72×73.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7215).

5256 is an abundant number, since it is smaller than the sum of its proper divisors (9174).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5256 is a wasteful number, since it uses less digits than its factorization.

5256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 78 counting only the distinct ones).

The product of its digits is 300, while the sum is 18.

The square root of 5256 is about 72.4982758416. The cubic root of 5256 is about 17.3867517069.

5256 divided by its sum of digits (18) gives a palindrome (292).

Adding to 5256 its reverse (6525), we get a triangular number (11781 = T₁₅₃).

The spelling of 5256 in words is "five thousand, two hundred fifty-six".