13516315072067 has 16 divisors (see below), whose sum is σ = 14285910592800. Its totient is φ = 12752584945920.

The previous prime is 13516315072049. The next prime is 13516315072121. The reversal of 13516315072067 is 76027051361531.

It is a cyclic number.

It is not a de Polignac number, because 13516315072067 - 2¹⁰ = 13516315071043 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13516315072037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10379717 + ... + 11609097.

It is an arithmetic number, because the mean of its divisors is an integer number (892869412050).

Almost surely, 2^{13516315072067} is an apocalyptic number.

13516315072067 is a deficient number, since it is larger than the sum of its proper divisors (769595520733).

13516315072067 is a wasteful number, since it uses less digits than its factorization.

13516315072067 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1231766.

The product of its (nonzero) digits is 793800, while the sum is 47.

The spelling of 13516315072067 in words is "thirteen trillion, five hundred sixteen billion, three hundred fifteen million, seventy-two thousand, sixty-seven".