251313013152 has 240 divisors, whose sum is σ = 763849481472. Its totient is φ = 80972835840.

The previous prime is 251313013141. The next prime is 251313013177. The reversal of 251313013152 is 251310313152.

251313013152 is a `hidden beast` number, since 2 + 513 + 13 + 0 + 131 + 5 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 105018868 + ... + 105021260.

Almost surely, 2^251313013152 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 251313013152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381924740736).

251313013152 is an abundant number, since it is smaller than the sum of its proper divisors (512536468320).

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

251313013152 is a wasteful number, since it uses less digits than its factorization.

251313013152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3753 (or 3736 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The spelling of 251313013152 in words is "two hundred fifty-one billion, three hundred thirteen million, thirteen thousand, one hundred fifty-two".