93314517054513 has 32 divisors (see below), whose sum is σ = 131912665344000. Its totient is φ = 58578821238336.

The previous prime is 93314517054439. The next prime is 93314517054587. The reversal of 93314517054513 is 31545071541339.

It is an interprime number because it is at equal distance from previous prime (93314517054439) and next prime (93314517054587).

It is not a de Polignac number, because 93314517054513 - 2¹⁰ = 93314517053489 is a prime.

It is not an unprimeable number, because it can be changed into a prime (93314517054413) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39162363 + ... + 41476736.

It is an arithmetic number, because the mean of its divisors is an integer number (4122270792000).

Almost surely, 2^{93314517054513} is an apocalyptic number.

It is an amenable number.

93314517054513 is a deficient number, since it is larger than the sum of its proper divisors (38598148289487).

93314517054513 is a wasteful number, since it uses less digits than its factorization.

93314517054513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80639461.

The product of its (nonzero) digits is 3402000, while the sum is 51.

The spelling of 93314517054513 in words is "ninety-three trillion, three hundred fourteen billion, five hundred seventeen million, fifty-four thousand, five hundred thirteen".