51106816305 has 12 divisors (see below), whose sum is σ = 88585148340. Its totient is φ = 27256968672.

The previous prime is 51106816297. The next prime is 51106816357. The reversal of 51106816305 is 50361860115.

51106816305 is a `hidden beast` number, since 5 + 1 + 10 + 6 + 8 + 1 + 630 + 5 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 27878313024 + 23228503281 = 166968^2 + 152409^2 .

It is not a de Polignac number, because 51106816305 - 2³ = 51106816297 is a prime.

It is a super-2 number, since 2×51106816305² (a number of 22 digits) contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 51106816305.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 567853470 + ... + 567853559.

It is an arithmetic number, because the mean of its divisors is an integer number (7382095695).

Almost surely, 2^51106816305 is an apocalyptic number.

It is an amenable number.

51106816305 is a deficient number, since it is larger than the sum of its proper divisors (37478332035).

51106816305 is a wasteful number, since it uses less digits than its factorization.

51106816305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1135707040 (or 1135707037 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The spelling of 51106816305 in words is "fifty-one billion, one hundred six million, eight hundred sixteen thousand, three hundred five".