315144363441513 has 32 divisors (see below), whose sum is σ = 431746265433600. Its totient is φ = 204324562907136.

The previous prime is 315144363441499. The next prime is 315144363441527.

It is a happy number.

315144363441513 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (315144363441499) and next prime (315144363441527).

It is not a de Polignac number, because 315144363441513 - 2¹⁸ = 315144363179369 is a prime.

It is not an unprimeable number, because it can be changed into a prime (315144363441013) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2328659833 + ... + 2328795161.

It is an arithmetic number, because the mean of its divisors is an integer number (13492070794800).

Almost surely, 2^{315144363441513} is an apocalyptic number.

It is an amenable number.

315144363441513 is a deficient number, since it is larger than the sum of its proper divisors (116601901992087).

315144363441513 is a wasteful number, since it uses less digits than its factorization.

315144363441513 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144801.

The product of its digits is 3110400, while the sum is 48.

The spelling of 315144363441513 in words is "three hundred fifteen trillion, one hundred forty-four billion, three hundred sixty-three million, four hundred forty-one thousand, five hundred thirteen".