51516517536 has 96 divisors (see below), whose sum is σ = 163916222400. Its totient is φ = 15611063040.

The previous prime is 51516517513. The next prime is 51516517537. The reversal of 51516517536 is 63571561515.

51516517536 is a `hidden beast` number, since 5 + 1 + 51 + 65 + 1 + 7 + 536 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×51516517536² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 51516517491 and 51516517500.

It is not an unprimeable number, because it can be changed into a prime (51516517537) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2700751 + ... + 2719758.

It is an arithmetic number, because the mean of its divisors is an integer number (1707460650).

Almost surely, 2^51516517536 is an apocalyptic number.

It is an amenable number.

51516517536 is an abundant number, since it is smaller than the sum of its proper divisors (112399704864).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

51516517536 is a wasteful number, since it uses less digits than its factorization.

51516517536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5420539 (or 5420525 counting only the distinct ones).

The product of its digits is 472500, while the sum is 45.

The spelling of 51516517536 in words is "fifty-one billion, five hundred sixteen million, five hundred seventeen thousand, five hundred thirty-six".