51185134786815 has 64 divisors (see below), whose sum is σ = 95556925670400. Its totient is φ = 25945519197312.

The previous prime is 51185134786811. The next prime is 51185134786847. The reversal of 51185134786815 is 51868743158115.

51185134786815 is a `hidden beast` number, since 5 + 1 + 1 + 8 + 513 + 47 + 8 + 68 + 15 = 666.

It is not a de Polignac number, because 51185134786815 - 2² = 51185134786811 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51185134786811) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 52011705 + ... + 52986674.

It is an arithmetic number, because the mean of its divisors is an integer number (1493076963600).

Almost surely, 2^{51185134786815} is an apocalyptic number.

51185134786815 is a deficient number, since it is larger than the sum of its proper divisors (44371790883585).

51185134786815 is a wasteful number, since it uses less digits than its factorization.

51185134786815 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104998573 (or 104998567 counting only the distinct ones).

The product of its digits is 32256000, while the sum is 63.

The spelling of 51185134786815 in words is "fifty-one trillion, one hundred eighty-five billion, one hundred thirty-four million, seven hundred eighty-six thousand, eight hundred fifteen".