315525101525513 has 24 divisors (see below), whose sum is σ = 348580069676160. Its totient is φ = 285383629792800.

The previous prime is 315525101525503. The next prime is 315525101525537.

315525101525513 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 315525101525513 - 2⁶ = 315525101525449 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (315525101525503) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 72355568 + ... + 76592286.

It is an arithmetic number, because the mean of its divisors is an integer number (14524169569840).

Almost surely, 2^{315525101525513} is an apocalyptic number.

It is an amenable number.

315525101525513 is a deficient number, since it is larger than the sum of its proper divisors (33054968150647).

315525101525513 is a wasteful number, since it uses less digits than its factorization.

315525101525513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4239869 (or 4239858 counting only the distinct ones).

The product of its (nonzero) digits is 562500, while the sum is 44.

The spelling of 315525101525513 in words is "three hundred fifteen trillion, five hundred twenty-five billion, one hundred one million, five hundred twenty-five thousand, five hundred thirteen".