51100516565 has 12 divisors (see below), whose sum is σ = 71332149996. Its totient is φ = 35040354048.

The previous prime is 51100516543. The next prime is 51100516589. The reversal of 51100516565 is 56561500115.

It can be written as a sum of positive squares in 2 ways, for example, as 19383043729 + 31717472836 = 139223^2 + 178094^2 .

It is a de Polignac number, because none of the positive numbers 2^k-51100516565 is a prime.

It is a super-2 number, since 2×51100516565² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 104286524 + ... + 104287013.

It is an arithmetic number, because the mean of its divisors is an integer number (5944345833).

Almost surely, 2^51100516565 is an apocalyptic number.

It is an amenable number.

51100516565 is a deficient number, since it is larger than the sum of its proper divisors (20231633431).

51100516565 is a wasteful number, since it uses less digits than its factorization.

51100516565 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208573556 (or 208573549 counting only the distinct ones).

The product of its (nonzero) digits is 22500, while the sum is 35.

The spelling of 51100516565 in words is "fifty-one billion, one hundred million, five hundred sixteen thousand, five hundred sixty-five".