257640667020825 has 96 divisors (see below), whose sum is σ = 478775574652032. Its totient is φ = 121165485312000.

The previous prime is 257640667020817. The next prime is 257640667020881. The reversal of 257640667020825 is 528020766046752.

It is not a de Polignac number, because 257640667020825 - 2³ = 257640667020817 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16162354 + ... + 27865803.

It is an arithmetic number, because the mean of its divisors is an integer number (4987245569292).

Almost surely, 2^{257640667020825} is an apocalyptic number.

257640667020825 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

257640667020825 is a deficient number, since it is larger than the sum of its proper divisors (221134907631207).

257640667020825 is a wasteful number, since it uses less digits than its factorization.

257640667020825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44028395 (or 44028390 counting only the distinct ones).

The product of its (nonzero) digits is 67737600, while the sum is 60.

The spelling of 257640667020825 in words is "two hundred fifty-seven trillion, six hundred forty billion, six hundred sixty-seven million, twenty thousand, eight hundred twenty-five".