51516641313 has 12 divisors (see below), whose sum is σ = 74513088000. Its totient is φ = 34298199096.

The previous prime is 51516641311. The next prime is 51516641317. The reversal of 51516641313 is 31314661515.

51516641313 is a `hidden beast` number, since 5 + 1 + 5 + 1 + 6 + 641 + 3 + 1 + 3 = 666.

It is not a de Polignac number, because 51516641313 - 2¹ = 51516641311 is a prime.

It is not an unprimeable number, because it can be changed into a prime (51516641311) by changing a digit.

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, 3845313 + ... + 3858686.

It is an arithmetic number, because the mean of its divisors is an integer number (6209424000).

Almost surely, 2^51516641313 is an apocalyptic number.

It is an amenable number.

51516641313 is a deficient number, since it is larger than the sum of its proper divisors (22996446687).

51516641313 is a wasteful number, since it uses less digits than its factorization.

51516641313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7704748 (or 7704745 counting only the distinct ones).

The product of its digits is 32400, while the sum is 36.

The spelling of 51516641313 in words is "fifty-one billion, five hundred sixteen million, six hundred forty-one thousand, three hundred thirteen".