257638159025 has 48 divisors (see below), whose sum is σ = 365263590384. Its totient is φ = 178582855680.

The previous prime is 257638159007. The next prime is 257638159049. The reversal of 257638159025 is 520951836752.

It can be written as a sum of positive squares in 24 ways, for example, as 229751496976 + 27886662049 = 479324^2 + 166993^2 .

It is not a de Polignac number, because 257638159025 - 2⁸ = 257638158769 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1998317 + ... + 2123333.

It is an arithmetic number, because the mean of its divisors is an integer number (7609658133).

Almost surely, 2^257638159025 is an apocalyptic number.

257638159025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

257638159025 is a deficient number, since it is larger than the sum of its proper divisors (107625431359).

257638159025 is a wasteful number, since it uses less digits than its factorization.

257638159025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125430 (or 125425 counting only the distinct ones).

The product of its (nonzero) digits is 4536000, while the sum is 53.

The spelling of 257638159025 in words is "two hundred fifty-seven billion, six hundred thirty-eight million, one hundred fifty-nine thousand, twenty-five".