51516560511 has 72 divisors (see below), whose sum is σ = 84429910656. Its totient is φ = 30198168000.

The previous prime is 51516560507. The next prime is 51516560527. The reversal of 51516560511 is 11506561515.

It is a happy number.

It is not a de Polignac number, because 51516560511 - 2² = 51516560507 is a prime.

It is a super-2 number, since 2×51516560511² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51516560561) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8777800 + ... + 8783666.

It is an arithmetic number, because the mean of its divisors is an integer number (1172637648).

Almost surely, 2^51516560511 is an apocalyptic number.

51516560511 is a deficient number, since it is larger than the sum of its proper divisors (32913350145).

51516560511 is a wasteful number, since it uses less digits than its factorization.

51516560511 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6173 (or 6157 counting only the distinct ones).

The product of its (nonzero) digits is 22500, while the sum is 36.

The spelling of 51516560511 in words is "fifty-one billion, five hundred sixteen million, five hundred sixty thousand, five hundred eleven".