513416414015 has 16 divisors (see below), whose sum is σ = 630834996000. Its totient is φ = 400921944192.

The previous prime is 513416413981. The next prime is 513416414111. The reversal of 513416414015 is 510414614315.

It is not a de Polignac number, because 513416414015 - 2¹⁰ = 513416412991 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 437780 + ... + 1103849.

It is an arithmetic number, because the mean of its divisors is an integer number (39427187250).

Almost surely, 2^513416414015 is an apocalyptic number.

513416414015 is a deficient number, since it is larger than the sum of its proper divisors (117418581985).

513416414015 is a wasteful number, since it uses less digits than its factorization.

513416414015 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1543226.

The product of its (nonzero) digits is 28800, while the sum is 35.

The spelling of 513416414015 in words is "five hundred thirteen billion, four hundred sixteen million, four hundred fourteen thousand, fifteen".