257628558825 has 48 divisors (see below), whose sum is σ = 516298056000. Its totient is φ = 124910812800.

The previous prime is 257628558823. The next prime is 257628558877. The reversal of 257628558825 is 528855826752.

257628558825 is a `hidden beast` number, since 2 + 5 + 7 + 6 + 28 + 5 + 588 + 25 = 666.

It is not a de Polignac number, because 257628558825 - 2¹ = 257628558823 is a prime.

It is not an unprimeable number, because it can be changed into a prime (257628558823) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17341300 + ... + 17356149.

It is an arithmetic number, because the mean of its divisors is an integer number (10756209500).

Almost surely, 2^257628558825 is an apocalyptic number.

257628558825 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

257628558825 is an abundant number, since it is smaller than the sum of its proper divisors (258669497175).

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

257628558825 is a wasteful number, since it uses less digits than its factorization.

257628558825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34697479 (or 34697468 counting only the distinct ones).

The product of its digits is 107520000, while the sum is 63.

The spelling of 257628558825 in words is "two hundred fifty-seven billion, six hundred twenty-eight million, five hundred fifty-eight thousand, eight hundred twenty-five".