51506165610 has 96 divisors (see below), whose sum is σ = 137635177680. Its totient is φ = 13354066944.

The previous prime is 51506165587. The next prime is 51506165639. The reversal of 51506165610 is 1656160515.

It can be written as a sum of positive squares in 8 ways, for example, as 51371582409 + 134583201 = 226653^2 + 11601^2 .

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5353164 + ... + 5362776.

Almost surely, 2^51506165610 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51506165610, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68817588840).

51506165610 is an abundant number, since it is smaller than the sum of its proper divisors (86129012070).

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

51506165610 is a wasteful number, since it uses less digits than its factorization.

51506165610 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11272 (or 11269 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 36.

The spelling of 51506165610 in words is "fifty-one billion, five hundred six million, one hundred sixty-five thousand, six hundred ten".