251004250152 has 72 divisors (see below), whose sum is σ = 717465477690. Its totient is φ = 79264491840.

The previous prime is 251004250139. The next prime is 251004250177. The reversal of 251004250152 is 251052400152.

251004250152 is a `hidden beast` number, since 2 + 5 + 100 + 4 + 2 + 501 + 52 = 666.

It can be written as a sum of positive squares in only one way, i.e., 228050182116 + 22954068036 = 477546^2 + 151506^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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, 4802499 + ... + 4854482.

Almost surely, 2^251004250152 is an apocalyptic number.

It is an amenable number.

251004250152 is an abundant number, since it is smaller than the sum of its proper divisors (466461227538).

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

251004250152 is a wasteful number, since it uses less digits than its factorization.

251004250152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9657031 (or 9657005 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 27.

The spelling of 251004250152 in words is "two hundred fifty-one billion, four million, two hundred fifty thousand, one hundred fifty-two".