315243342513 has 48 divisors (see below), whose sum is σ = 506269558080. Its totient is φ = 187428816000.

The previous prime is 315243342443. The next prime is 315243342521.

315243342513 is a `hidden beast` number, since 315 + 2 + 4 + 334 + 2 + 5 + 1 + 3 = 666.

315243342513 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 315243342513 - 2⁸ = 315243342257 is a prime.

It is not an unprimeable number, because it can be changed into a prime (315243342553) 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, 945270 + ... + 1234512.

It is an arithmetic number, because the mean of its divisors is an integer number (10547282460).

Almost surely, 2^315243342513 is an apocalyptic number.

315243342513 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

315243342513 is a deficient number, since it is larger than the sum of its proper divisors (191026215567).

315243342513 is a wasteful number, since it uses less digits than its factorization.

315243342513 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289470 (or 289467 counting only the distinct ones).

The product of its digits is 129600, while the sum is 36.

It can be divided in two parts, 315243 and 342513, that added together give a palindrome (657756).

The spelling of 315243342513 in words is "three hundred fifteen billion, two hundred forty-three million, three hundred forty-two thousand, five hundred thirteen".