51011005005 has 24 divisors (see below), whose sum is σ = 88429787160. Its totient is φ = 27202573440.

The previous prime is 51011004997. The next prime is 51011005027. The reversal of 51011005005 is 50050011015.

51011005005 is a `hidden beast` number, since 51 + 0 + 110 + 0 + 500 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 12959090244 + 38051914761 = 113838^2 + 195069^2 .

It is not a de Polignac number, because 51011005005 - 2³ = 51011004997 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 332691 + ... + 461199.

It is an arithmetic number, because the mean of its divisors is an integer number (3684574465).

Almost surely, 2^51011005005 is an apocalyptic number.

It is an amenable number.

51011005005 is a deficient number, since it is larger than the sum of its proper divisors (37418782155).

51011005005 is a wasteful number, since it uses less digits than its factorization.

51011005005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137341 (or 137338 counting only the distinct ones).

The product of its (nonzero) digits is 125, while the sum is 18.

The spelling of 51011005005 in words is "fifty-one billion, eleven million, five thousand, five".