25256 has 32 divisors (see below), whose sum is σ = 60480. Its totient is φ = 9600.

The previous prime is 25253. The next prime is 25261. The reversal of 25256 is 65252.

25256 = T₄₈ + T₄₉ + ... + T₆₃.

It is a happy number.

It is a Smith number, since the sum of its digits (20) coincides with the sum of the digits of its prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (25253) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 596 + ... + 636.

It is an arithmetic number, because the mean of its divisors is an integer number (1890).

2²⁵²⁵⁶ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30240).

25256 is an abundant number, since it is smaller than the sum of its proper divisors (35224).

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

25256 is a wasteful number, since it uses less digits than its factorization.

25256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65 (or 61 counting only the distinct ones).

The product of its digits is 600, while the sum is 20.

The square root of 25256 is about 158.9213642026. The cubic root of 25256 is about 29.3396451064.

It can be divided in two parts, 25 and 256, that multiplied together give a square (6400 = 80²).

The spelling of 25256 in words is "twenty-five thousand, two hundred fifty-six".