257607925245 has 144 divisors (see below), whose sum is σ = 531057758400. Its totient is φ = 114243333120.

The previous prime is 257607925231. The next prime is 257607925261. The reversal of 257607925245 is 542529706752.

257607925245 is a `hidden beast` number, since 2 + 5 + 7 + 607 + 9 + 2 + 5 + 24 + 5 = 666.

It is not a de Polignac number, because 257607925245 - 2⁶ = 257607925181 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 257607925191 and 257607925200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 7893321 + ... + 7925889.

It is an arithmetic number, because the mean of its divisors is an integer number (3687901100).

Almost surely, 2^257607925245 is an apocalyptic number.

It is an amenable number.

257607925245 is an abundant number, since it is smaller than the sum of its proper divisors (273449833155).

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

257607925245 is a wasteful number, since it uses less digits than its factorization.

257607925245 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32668 (or 32636 counting only the distinct ones).

The product of its (nonzero) digits is 10584000, while the sum is 54.

The spelling of 257607925245 in words is "two hundred fifty-seven billion, six hundred seven million, nine hundred twenty-five thousand, two hundred forty-five".