251117245456 has 135 divisors (see below), whose sum is σ = 622487031327. Its totient is φ = 97777753920.

The previous prime is 251117245439. The next prime is 251117245513. The reversal of 251117245456 is 654542711152.

It is a happy number.

The square root of 251117245456 is 501116.

It is a perfect power (a square), and thus also a powerful number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 154342915 + ... + 154344541.

Almost surely, 2^251117245456 is an apocalyptic number.

251117245456 is the 501116-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 251117245456

251117245456 is an abundant number, since it is smaller than the sum of its proper divisors (371369785871).

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

251117245456 is an equidigital number, since it uses as much as digits as its factorization.

251117245456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3298 (or 1647 counting only the distinct ones).

The product of its digits is 336000, while the sum is 43.

The spelling of 251117245456 in words is "two hundred fifty-one billion, one hundred seventeen million, two hundred forty-five thousand, four hundred fifty-six".