513371270313 has 48 divisors (see below), whose sum is σ = 837026835840. Its totient is φ = 300339513600.

The previous prime is 513371270297. The next prime is 513371270387. The reversal of 513371270313 is 313072173315.

513371270313 is a `hidden beast` number, since 5 + 1 + 3 + 3 + 71 + 270 + 313 = 666.

It is not a de Polignac number, because 513371270313 - 2⁴ = 513371270297 is a prime.

It is a super-2 number, since 2×513371270313² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (513371270513) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15121828 + ... + 15155738.

It is an arithmetic number, because the mean of its divisors is an integer number (17438059080).

Almost surely, 2^513371270313 is an apocalyptic number.

It is an amenable number.

513371270313 is a deficient number, since it is larger than the sum of its proper divisors (323655565527).

513371270313 is a wasteful number, since it uses less digits than its factorization.

513371270313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39230 (or 39227 counting only the distinct ones).

The product of its (nonzero) digits is 39690, while the sum is 36.

It can be divided in two parts, 5133712 and 70313, that added together give a palindrome (5204025).

The spelling of 513371270313 in words is "five hundred thirteen billion, three hundred seventy-one million, two hundred seventy thousand, three hundred thirteen".