251957633325 has 12 divisors (see below), whose sum is σ = 416569953888. Its totient is φ = 134377404400.

The previous prime is 251957633309. The next prime is 251957633339. The reversal of 251957633325 is 523336759152.

251957633325 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 251957633325 - 2⁴ = 251957633309 is a prime.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1679717481 + ... + 1679717630.

It is an arithmetic number, because the mean of its divisors is an integer number (34714162824).

Almost surely, 2^251957633325 is an apocalyptic number.

251957633325 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

251957633325 is a deficient number, since it is larger than the sum of its proper divisors (164612320563).

251957633325 is a wasteful number, since it uses less digits than its factorization.

251957633325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3359435124 (or 3359435119 counting only the distinct ones).

The product of its digits is 5103000, while the sum is 51.

The spelling of 251957633325 in words is "two hundred fifty-one billion, nine hundred fifty-seven million, six hundred thirty-three thousand, three hundred twenty-five".