315214412513 has 32 divisors (see below), whose sum is σ = 423285730560. Its totient is φ = 226695087360.

The previous prime is 315214412509. The next prime is 315214412531.

315214412513 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 315214412513 - 2² = 315214412509 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 315214412513.

It is not an unprimeable number, because it can be changed into a prime (315214412213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8587283 + ... + 8623911.

It is an arithmetic number, because the mean of its divisors is an integer number (13227679080).

Almost surely, 2^315214412513 is an apocalyptic number.

It is an amenable number.

315214412513 is a deficient number, since it is larger than the sum of its proper divisors (108071318047).

315214412513 is a wasteful number, since it uses less digits than its factorization.

315214412513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45257.

The product of its digits is 14400, while the sum is 32.

It can be divided in two parts, 315214 and 412513, that added together give a palindrome (727727).

The spelling of 315214412513 in words is "three hundred fifteen billion, two hundred fourteen million, four hundred twelve thousand, five hundred thirteen".