51005505566061 has 20 divisors (see below), whose sum is σ = 76394447615200. Its totient is φ = 33913950910056.

The previous prime is 51005505565999. The next prime is 51005505566083. The reversal of 51005505566061 is 16066550550015.

It is not a de Polignac number, because 51005505566061 - 2¹⁹ = 51005505041773 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 51005505565998 and 51005505566016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51005505567061) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 830704921 + ... + 830766318.

It is an arithmetic number, because the mean of its divisors is an integer number (3819722380760).

Almost surely, 2^{51005505566061} is an apocalyptic number.

It is an amenable number.

51005505566061 is a deficient number, since it is larger than the sum of its proper divisors (25388942049139).

51005505566061 is a wasteful number, since it uses less digits than its factorization.

51005505566061 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1661471630 (or 1661471621 counting only the distinct ones).

The product of its (nonzero) digits is 675000, while the sum is 45.

The spelling of 51005505566061 in words is "fifty-one trillion, five billion, five hundred five million, five hundred sixty-six thousand, sixty-one".