51005561500117 has 12 divisors (see below), whose sum is σ = 59569386581376. Its totient is φ = 43544873211000.

The previous prime is 51005561500111. The next prime is 51005561500147. The reversal of 51005561500117 is 71100516550015.

It is not a de Polignac number, because 51005561500117 - 2¹⁵ = 51005561467349 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51005561500111) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2073553093 + ... + 2073577690.

It is an arithmetic number, because the mean of its divisors is an integer number (4964115548448).

Almost surely, 2^{51005561500117} is an apocalyptic number.

It is an amenable number.

51005561500117 is a deficient number, since it is larger than the sum of its proper divisors (8563825081259).

51005561500117 is a wasteful number, since it uses less digits than its factorization.

51005561500117 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4147131048 (or 4147131041 counting only the distinct ones).

The product of its (nonzero) digits is 26250, while the sum is 37.

The spelling of 51005561500117 in words is "fifty-one trillion, five billion, five hundred sixty-one million, five hundred thousand, one hundred seventeen".