515513161315515 has 96 divisors (see below), whose sum is σ = 1010475969269760. Its totient is φ = 222861867402240.

The previous prime is 515513161315507. The next prime is 515513161315589.

515513161315515 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 515513161315515 - 2³ = 515513161315507 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 439087579 + ... + 440260068.

It is an arithmetic number, because the mean of its divisors is an integer number (10525791346560).

Almost surely, 2^{515513161315515} is an apocalyptic number.

515513161315515 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

515513161315515 is a deficient number, since it is larger than the sum of its proper divisors (494962807954245).

515513161315515 is a wasteful number, since it uses less digits than its factorization.

515513161315515 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 879347713 (or 879347702 counting only the distinct ones).

The product of its digits is 843750, while the sum is 48.

The spelling of 515513161315515 in words is "five hundred fifteen trillion, five hundred thirteen billion, one hundred sixty-one million, three hundred fifteen thousand, five hundred fifteen".