51001105501105 has 16 divisors (see below), whose sum is σ = 61812149849424. Its totient is φ = 40393732556800.

The previous prime is 51001105501091. The next prime is 51001105501111. The reversal of 51001105501105 is 50110550110015.

It can be written as a sum of positive squares in 8 ways, for example, as 28770597175329 + 22230508325776 = 5363823^2 + 4714924^2 .

It is not a de Polignac number, because 51001105501105 - 2²⁵ = 51001071946673 is a prime.

It is a super-2 number, since 2×51001105501105² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 51001105501105.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2448057 + ... + 10392073.

It is an arithmetic number, because the mean of its divisors is an integer number (3863259365589).

Almost surely, 2^{51001105501105} is an apocalyptic number.

It is an amenable number.

51001105501105 is a deficient number, since it is larger than the sum of its proper divisors (10811044348319).

51001105501105 is a wasteful number, since it uses less digits than its factorization.

51001105501105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7956836.

The product of its (nonzero) digits is 625, while the sum is 25.

The spelling of 51001105501105 in words is "fifty-one trillion, one billion, one hundred five million, five hundred one thousand, one hundred five".