258313507137 has 16 divisors (see below), whose sum is σ = 437356202880. Its totient is φ = 147607718256.

The previous prime is 258313507129. The next prime is 258313507237. The reversal of 258313507137 is 731705313852.

258313507137 is a `hidden beast` number, since 2 + 5 + 8 + 3 + 1 + 3 + 507 + 137 = 666.

It is not a de Polignac number, because 258313507137 - 2³ = 258313507129 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 258313507092 and 258313507101.

It is not an unprimeable number, because it can be changed into a prime (258313507237) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 683368878 + ... + 683369255.

It is an arithmetic number, because the mean of its divisors is an integer number (27334762680).

Almost surely, 2^258313507137 is an apocalyptic number.

258313507137 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

It is an amenable number.

258313507137 is a deficient number, since it is larger than the sum of its proper divisors (179042695743).

258313507137 is a wasteful number, since it uses less digits than its factorization.

258313507137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1366738149 (or 1366738143 counting only the distinct ones).

The product of its (nonzero) digits is 529200, while the sum is 45.

The spelling of 258313507137 in words is "two hundred fifty-eight billion, three hundred thirteen million, five hundred seven thousand, one hundred thirty-seven".