51006305410056 has 48 divisors (see below), whose sum is σ = 138142415296860. Its totient is φ = 17002060185600.

The previous prime is 51006305410009. The next prime is 51006305410111. The reversal of 51006305410056 is 65001450360015.

51006305410056 is a `hidden beast` number, since 5 + 1 + 0 + 0 + 63 + 0 + 541 + 0 + 0 + 56 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 50910137197956 + 96168212100 = 7135134^2 + 310110^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 51006305410056.

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, 46901256 + ... + 47976456.

Almost surely, 2^{51006305410056} is an apocalyptic number.

It is an amenable number.

51006305410056 is an abundant number, since it is smaller than the sum of its proper divisors (87136109886804).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

51006305410056 is a wasteful number, since it uses less digits than its factorization.

51006305410056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1734086 (or 1734079 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The spelling of 51006305410056 in words is "fifty-one trillion, six billion, three hundred five million, four hundred ten thousand, fifty-six".