315314202413513 has 8 divisors (see below), whose sum is σ = 318131808930600. Its totient is φ = 312497073358848.

The previous prime is 315314202413491. The next prime is 315314202413599.

It is a happy number.

315314202413513 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 27072176766649 + 288242025646864 = 5203093^2 + 16977692^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 315314202413513 - 2¹² = 315314202409417 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (315314202413113) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 118038848 + ... + 120680561.

It is an arithmetic number, because the mean of its divisors is an integer number (39766476116325).

Almost surely, 2^{315314202413513} is an apocalyptic number.

It is an amenable number.

315314202413513 is a deficient number, since it is larger than the sum of its proper divisors (2817606517087).

315314202413513 is a wasteful number, since it uses less digits than its factorization.

315314202413513 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238731211.

The product of its (nonzero) digits is 129600, while the sum is 38.

It can be divided in two parts, 31531420 and 2413513, that added together give a palindrome (33944933).

The spelling of 315314202413513 in words is "three hundred fifteen trillion, three hundred fourteen billion, two hundred two million, four hundred thirteen thousand, five hundred thirteen".