251258670513 has 12 divisors (see below), whose sum is σ = 362933749620. Its totient is φ = 167503676256.

The previous prime is 251258670497. The next prime is 251258670517. The reversal of 251258670513 is 315076852152.

251258670513 is a `hidden beast` number, since 2 + 5 + 12 + 58 + 6 + 70 + 513 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 246977193024 + 4281477489 = 496968^2 + 65433^2 .

It is not a de Polignac number, because 251258670513 - 2⁴ = 251258670497 is a prime.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (251258670517) 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 11 ways as a sum of consecutive naturals, for example, 985303 + ... + 1213811.

It is an arithmetic number, because the mean of its divisors is an integer number (30244479135).

Almost surely, 2^251258670513 is an apocalyptic number.

It is an amenable number.

251258670513 is a deficient number, since it is larger than the sum of its proper divisors (111675079107).

251258670513 is a wasteful number, since it uses less digits than its factorization.

251258670513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350688 (or 350685 counting only the distinct ones).

The product of its (nonzero) digits is 504000, while the sum is 45.

The spelling of 251258670513 in words is "two hundred fifty-one billion, two hundred fifty-eight million, six hundred seventy thousand, five hundred thirteen".