251232256 has 128 divisors (see below), whose sum is σ = 594533520. Its totient is φ = 104857600.

The previous prime is 251232253. The next prime is 251232263. The reversal of 251232256 is 652232152.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (251232253) 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, 6127596 + ... + 6127636.

Almost surely, 2^251232256 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 251232256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297266760).

251232256 is an abundant number, since it is smaller than the sum of its proper divisors (343301264).

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

251232256 is an equidigital number, since it uses as much as digits as its factorization.

251232256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 71 counting only the distinct ones).

The product of its digits is 7200, while the sum is 28.

The square root of 251232256 is about 15850.3077572645. The cubic root of 251232256 is about 630.9938592082.

The spelling of 251232256 in words is "two hundred fifty-one million, two hundred thirty-two thousand, two hundred fifty-six".