257137964811 has 72 divisors (see below), whose sum is σ = 460158360480. Its totient is φ = 135482001408.

The previous prime is 257137964747. The next prime is 257137964857. The reversal of 257137964811 is 118469731752.

257137964811 is a `hidden beast` number, since 2 + 5 + 71 + 3 + 7 + 96 + 481 + 1 = 666.

It is not a de Polignac number, because 257137964811 - 2⁶ = 257137964747 is a prime.

It is a super-2 number, since 2×257137964811² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (257137963811) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9878065 + ... + 9904061.

It is an arithmetic number, because the mean of its divisors is an integer number (6391088340).

Almost surely, 2^257137964811 is an apocalyptic number.

257137964811 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

257137964811 is a deficient number, since it is larger than the sum of its proper divisors (203020395669).

257137964811 is a wasteful number, since it uses less digits than its factorization.

257137964811 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26965 (or 26949 counting only the distinct ones).

The product of its digits is 2540160, while the sum is 54.

The spelling of 257137964811 in words is "two hundred fifty-seven billion, one hundred thirty-seven million, nine hundred sixty-four thousand, eight hundred eleven".