315106404601513 has 16 divisors (see below), whose sum is σ = 364273260099840. Its totient is φ = 266979218558976.

The previous prime is 315106404601507. The next prime is 315106404601531.

It is a happy number.

315106404601513 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 315106404601513 - 2⁵ = 315106404601481 is a prime.

It is not an unprimeable number, because it can be changed into a prime (315106404601553) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 71000581 + ... + 75308002.

It is an arithmetic number, because the mean of its divisors is an integer number (22767078756240).

Almost surely, 2^{315106404601513} is an apocalyptic number.

It is an amenable number.

315106404601513 is a deficient number, since it is larger than the sum of its proper divisors (49166855498327).

315106404601513 is a wasteful number, since it uses less digits than its factorization.

315106404601513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146312136.

The product of its (nonzero) digits is 129600, while the sum is 40.

The spelling of 315106404601513 in words is "three hundred fifteen trillion, one hundred six billion, four hundred four million, six hundred one thousand, five hundred thirteen".