315240444042513 has 128 divisors (see below), whose sum is σ = 512854619904000. Its totient is φ = 170017716234240.

The previous prime is 315240444042509. The next prime is 315240444042541.

315240444042513 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 315240444042513 - 2² = 315240444042509 is a prime.

It is not an unprimeable number, because it can be changed into a prime (315240444042553) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9679140093 + ... + 9679172661.

It is an arithmetic number, because the mean of its divisors is an integer number (4006676718000).

Almost surely, 2^{315240444042513} is an apocalyptic number.

315240444042513 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

315240444042513 is a deficient number, since it is larger than the sum of its proper divisors (197614175861487).

315240444042513 is a wasteful number, since it uses less digits than its factorization.

315240444042513 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47055.

The product of its (nonzero) digits is 921600, while the sum is 42.

The spelling of 315240444042513 in words is "three hundred fifteen trillion, two hundred forty billion, four hundred forty-four million, forty-two thousand, five hundred thirteen".