315036630513 has 96 divisors (see below), whose sum is σ = 515581822080. Its totient is φ = 183738654720.

The previous prime is 315036630439. The next prime is 315036630527.

315036630513 is a `hidden beast` number, since 3 + 1 + 5 + 0 + 3 + 6 + 630 + 5 + 13 = 666.

315036630513 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 315036630513 - 2¹² = 315036626417 is a prime.

It is not an unprimeable number, because it can be changed into a prime (315036634513) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 58413145 + ... + 58418537.

It is an arithmetic number, because the mean of its divisors is an integer number (5370643980).

Almost surely, 2^315036630513 is an apocalyptic number.

315036630513 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

315036630513 is a deficient number, since it is larger than the sum of its proper divisors (200545191567).

315036630513 is a wasteful number, since it uses less digits than its factorization.

315036630513 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5679 (or 5676 counting only the distinct ones).

The product of its (nonzero) digits is 72900, while the sum is 36.

It can be divided in two parts, 315036 and 630513, that added together give a palindrome (945549).

The spelling of 315036630513 in words is "three hundred fifteen billion, thirty-six million, six hundred thirty thousand, five hundred thirteen".