251164330272 has 72 divisors (see below), whose sum is σ = 724032851724. Its totient is φ = 82574567424.

The previous prime is 251164330271. The next prime is 251164330289. The reversal of 251164330272 is 272033461152.

251164330272 is a `hidden beast` number, since 2 + 5 + 1 + 1 + 643 + 3 + 0 + 2 + 7 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 243092385936 + 8071944336 = 493044^2 + 89844^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (251164330271) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5952253 + ... + 5994300.

Almost surely, 2^251164330272 is an apocalyptic number.

It is an amenable number.

251164330272 is an abundant number, since it is smaller than the sum of its proper divisors (472868521452).

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

251164330272 is a wasteful number, since it uses less digits than its factorization.

251164330272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11946642 (or 11946631 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 251164330272 in words is "two hundred fifty-one billion, one hundred sixty-four million, three hundred thirty thousand, two hundred seventy-two".