51005825505 has 12 divisors (see below), whose sum is σ = 88410097620. Its totient is φ = 27203106912.

The previous prime is 51005825449. The next prime is 51005825567. The reversal of 51005825505 is 50552850015.

51005825505 is a `hidden beast` number, since 51 + 0 + 0 + 58 + 2 + 550 + 5 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 35915177169 + 15090648336 = 189513^2 + 122844^2 .

It is not a de Polignac number, because 51005825505 - 2⁸ = 51005825249 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 51005825505.

It is an unprimeable number.

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, 566731350 + ... + 566731439.

It is an arithmetic number, because the mean of its divisors is an integer number (7367508135).

Almost surely, 2^51005825505 is an apocalyptic number.

It is an amenable number.

51005825505 is a deficient number, since it is larger than the sum of its proper divisors (37404272115).

51005825505 is a wasteful number, since it uses less digits than its factorization.

51005825505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1133462800 (or 1133462797 counting only the distinct ones).

The product of its (nonzero) digits is 50000, while the sum is 36.

The spelling of 51005825505 in words is "fifty-one billion, five million, eight hundred twenty-five thousand, five hundred five".