251024256 has 144 divisors (see below), whose sum is σ = 840471840. Its totient is φ = 71705088.

The previous prime is 251024237. The next prime is 251024273. The reversal of 251024256 is 652420152.

251024256 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 54225 + ... + 58671.

It is an arithmetic number, because the mean of its divisors is an integer number (5836610).

Almost surely, 2^251024256 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 251024256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (420235920).

251024256 is an abundant number, since it is smaller than the sum of its proper divisors (589447584).

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

251024256 is a wasteful number, since it uses less digits than its factorization.

251024256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4481 (or 4459 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 251024256 is about 15843.7450118335. The cubic root of 251024256 is about 630.8196738256.

The spelling of 251024256 in words is "two hundred fifty-one million, twenty-four thousand, two hundred fifty-six".