257002477137 has 24 divisors (see below), whose sum is σ = 432916390400. Its totient is φ = 146858556600.

The previous prime is 257002477093. The next prime is 257002477157. The reversal of 257002477137 is 731774200752.

257002477137 is a `hidden beast` number, since 2 + 570 + 0 + 2 + 4 + 7 + 71 + 3 + 7 = 666.

It is not a de Polignac number, because 257002477137 - 2²⁴ = 256985699921 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 257002477092 and 257002477101.

It is not an unprimeable number, because it can be changed into a prime (257002477157) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41623489 + ... + 41629662.

Almost surely, 2^257002477137 is an apocalyptic number.

It is an amenable number.

257002477137 is a deficient number, since it is larger than the sum of its proper divisors (175913913263).

257002477137 is an equidigital number, since it uses as much as digits as its factorization.

257002477137 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83253178 (or 83253161 counting only the distinct ones).

The product of its (nonzero) digits is 576240, while the sum is 45.

Adding to 257002477137 its reverse (731774200752), we get a palindrome (988776677889).

The spelling of 257002477137 in words is "two hundred fifty-seven billion, two million, four hundred seventy-seven thousand, one hundred thirty-seven".