315516242615513 has 16 divisors (see below), whose sum is σ = 319134931105536. Its totient is φ = 311907614990400.

The previous prime is 315516242615503. The next prime is 315516242615531.

315516242615513 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 315516242615513 - 2²⁰ = 315516241566937 is a prime.

It is a super-2 number, since 2×315516242615513² (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 (315516242615503) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 174855620 + ... + 176650842.

It is an arithmetic number, because the mean of its divisors is an integer number (19945933194096).

Almost surely, 2^{315516242615513} is an apocalyptic number.

It is an amenable number.

315516242615513 is a deficient number, since it is larger than the sum of its proper divisors (3618688490023).

315516242615513 is a wasteful number, since it uses less digits than its factorization.

315516242615513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1798024.

The product of its digits is 3240000, while the sum is 50.

The spelling of 315516242615513 in words is "three hundred fifteen trillion, five hundred sixteen billion, two hundred forty-two million, six hundred fifteen thousand, five hundred thirteen".