315334464433513 has 12 divisors (see below), whose sum is σ = 366818150633220. Its totient is φ = 270286309239072.

The previous prime is 315334464433493. The next prime is 315334464433519.

315334464433513 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 83359876406569 + 231974588026944 = 9130163^2 + 15230712^2 .

It is not a de Polignac number, because 315334464433513 - 2⁵ = 315334464433481 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (315334464433519) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34741623 + ... + 42867811.

It is an arithmetic number, because the mean of its divisors is an integer number (30568179219435).

Almost surely, 2^{315334464433513} is an apocalyptic number.

It is an amenable number.

315334464433513 is a deficient number, since it is larger than the sum of its proper divisors (51483686199707).

315334464433513 is an equidigital number, since it uses as much as digits as its factorization.

315334464433513 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8918136 (or 8918129 counting only the distinct ones).

The product of its digits is 27993600, while the sum is 52.

The spelling of 315334464433513 in words is "three hundred fifteen trillion, three hundred thirty-four billion, four hundred sixty-four million, four hundred thirty-three thousand, five hundred thirteen".