51056665511105 has 16 divisors (see below), whose sum is σ = 61370984523600. Its totient is φ = 40776683092992.

The previous prime is 51056665511099. The next prime is 51056665511167. The reversal of 51056665511105 is 50111556665015.

51056665511105 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 19163346739216 + 31893318771889 = 4377596^2 + 5647417^2 .

It is a cyclic number.

It is not a de Polignac number, because 51056665511105 - 2³⁸ = 50781787604161 is a prime.

It is a super-2 number, since 2×51056665511105² (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 51056665511105.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51762071 + ... + 52739219.

It is an arithmetic number, because the mean of its divisors is an integer number (3835686532725).

Almost surely, 2^{51056665511105} is an apocalyptic number.

It is an amenable number.

51056665511105 is a deficient number, since it is larger than the sum of its proper divisors (10314319012495).

51056665511105 is a wasteful number, since it uses less digits than its factorization.

51056665511105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 994708.

The product of its (nonzero) digits is 675000, while the sum is 47.

The spelling of 51056665511105 in words is "fifty-one trillion, fifty-six billion, six hundred sixty-five million, five hundred eleven thousand, one hundred five".