251312256 has 192 divisors, whose sum is σ = 791383320. Its totient is φ = 76087296.

The previous prime is 251312227. The next prime is 251312267. The reversal of 251312256 is 652213152.

It is a happy number.

251312256 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 217857600 + 33454656 = 14760^2 + 5784^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1452586 + ... + 1452758.

Almost surely, 2^251312256 is an apocalyptic number.

251312256 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 251312256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395691660).

251312256 is an abundant number, since it is smaller than the sum of its proper divisors (540071064).

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

251312256 is a wasteful number, since it uses less digits than its factorization.

251312256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303 (or 288 counting only the distinct ones).

The product of its digits is 3600, while the sum is 27.

The square root of 251312256 is about 15852.8311667033. The cubic root of 251312256 is about 631.0608279863.

The spelling of 251312256 in words is "two hundred fifty-one million, three hundred twelve thousand, two hundred fifty-six".