315615505516513 has 8 divisors (see below), whose sum is σ = 322321764459240. Its totient is φ = 308979469180800.

The previous prime is 315615505516501. The next prime is 315615505516529.

315615505516513 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 89867044111329 + 225748461405184 = 9479823^2 + 15024928^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 315615505516513 - 2⁵ = 315615505516481 is a prime.

It is a super-2 number, since 2×315615505516513² (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (315615505514513) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17555642670 + ... + 17555660647.

It is an arithmetic number, because the mean of its divisors is an integer number (40290220557405).

Almost surely, 2^{315615505516513} is an apocalyptic number.

It is an amenable number.

315615505516513 is a deficient number, since it is larger than the sum of its proper divisors (6706258942727).

315615505516513 is a wasteful number, since it uses less digits than its factorization.

315615505516513 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35111303507.

The product of its (nonzero) digits is 5062500, while the sum is 52.

The spelling of 315615505516513 in words is "three hundred fifteen trillion, six hundred fifteen billion, five hundred five million, five hundred sixteen thousand, five hundred thirteen".