315743347513 has 48 divisors (see below), whose sum is σ = 383769767808. Its totient is φ = 258192704000.

The previous prime is 315743347487. The next prime is 315743347523.

315743347513 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 315743347513 - 2¹³ = 315743339321 is a prime.

It is a super-2 number, since 2×315743347513² (a number of 24 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (46) 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 (315743347523) 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 47 ways as a sum of consecutive naturals, for example, 81988038 + ... + 81991888.

It is an arithmetic number, because the mean of its divisors is an integer number (7995203496).

Almost surely, 2^315743347513 is an apocalyptic number.

It is an amenable number.

315743347513 is a deficient number, since it is larger than the sum of its proper divisors (68026420295).

315743347513 is a wasteful number, since it uses less digits than its factorization.

315743347513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5646 (or 5635 counting only the distinct ones).

The product of its digits is 1587600, while the sum is 46.

The spelling of 315743347513 in words is "three hundred fifteen billion, seven hundred forty-three million, three hundred forty-seven thousand, five hundred thirteen".