315456654513 has 64 divisors (see below), whose sum is σ = 570325561344. Its totient is φ = 149770080000.

The previous prime is 315456654479. The next prime is 315456654551.

315456654513 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 315456654513 - 2¹⁷ = 315456523441 is a prime.

It is not an unprimeable number, because it can be changed into a prime (315456654113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 216733 + ... + 823338.

It is an arithmetic number, because the mean of its divisors is an integer number (8911336896).

Almost surely, 2^315456654513 is an apocalyptic number.

315456654513 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

315456654513 is a deficient number, since it is larger than the sum of its proper divisors (254868906831).

315456654513 is a wasteful number, since it uses less digits than its factorization.

315456654513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1040206.

The product of its digits is 3240000, while the sum is 48.

It can be divided in two parts, 315456 and 654513, that added together give a palindrome (969969).

The spelling of 315456654513 in words is "three hundred fifteen billion, four hundred fifty-six million, six hundred fifty-four thousand, five hundred thirteen".