51052564836 has 432 divisors, whose sum is σ = 168408938880. Its totient is φ = 12695823360.

The previous prime is 51052564741. The next prime is 51052564837. The reversal of 51052564836 is 63846525015.

51052564836 is a `hidden beast` number, since 5 + 1 + 0 + 5 + 2 + 564 + 83 + 6 = 666.

51052564836 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 51052564791 and 51052564800.

It is not an unprimeable number, because it can be changed into a prime (51052564837) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 154237191 + ... + 154237521.

Almost surely, 2^51052564836 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51052564836, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84204469440).

51052564836 is an abundant number, since it is smaller than the sum of its proper divisors (117356374044).

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

51052564836 is a wasteful number, since it uses less digits than its factorization.

51052564836 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 496 (or 468 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 45.

The spelling of 51052564836 in words is "fifty-one billion, fifty-two million, five hundred sixty-four thousand, eight hundred thirty-six".