251553323355152 has 160 divisors (see below), whose sum is σ = 629804519097600. Its totient is φ = 94649936984064.

The previous prime is 251553323355137. The next prime is 251553323355197.

251553323355152 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 251553323355152.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41630627 + ... + 47288642.

It is an arithmetic number, because the mean of its divisors is an integer number (3936278244360).

Almost surely, 2^{251553323355152} is an apocalyptic number.

It is an amenable number.

251553323355152 is an abundant number, since it is smaller than the sum of its proper divisors (378251195742448).

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

251553323355152 is a wasteful number, since it uses less digits than its factorization.

251553323355152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88919393 (or 88919387 counting only the distinct ones).

The product of its digits is 10125000, while the sum is 50.

The spelling of 251553323355152 in words is "two hundred fifty-one trillion, five hundred fifty-three billion, three hundred twenty-three million, three hundred fifty-five thousand, one hundred fifty-two".