257076713626137 has 12 divisors (see below), whose sum is σ = 385086106008240. Its totient is φ = 171384475750596.

The previous prime is 257076713626111. The next prime is 257076713626153. The reversal of 257076713626137 is 731626317670752.

257076713626137 is a `hidden beast` number, since 2 + 5 + 7 + 0 + 7 + 6 + 7 + 1 + 3 + 6 + 2 + 613 + 7 = 666.

257076713626137 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 257076713626137 - 2²² = 257076709431833 is a prime.

It is not an unprimeable number, because it can be changed into a prime (257076713616137) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 528964431087 + ... + 528964431572.

It is an arithmetic number, because the mean of its divisors is an integer number (32090508834020).

Almost surely, 2^{257076713626137} is an apocalyptic number.

257076713626137 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

It is an amenable number.

257076713626137 is a deficient number, since it is larger than the sum of its proper divisors (128009392382103).

257076713626137 is an equidigital number, since it uses as much as digits as its factorization.

257076713626137 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1057928862674 (or 1057928862662 counting only the distinct ones).

The product of its (nonzero) digits is 93350880, while the sum is 63.

The spelling of 257076713626137 in words is "two hundred fifty-seven trillion, seventy-six billion, seven hundred thirteen million, six hundred twenty-six thousand, one hundred thirty-seven".