51110555506105 has 16 divisors (see below), whose sum is σ = 64958872853520. Its totient is φ = 38472336709632.

The previous prime is 51110555506091. The next prime is 51110555506229. The reversal of 51110555506105 is 50160555501115.

It is a happy number.

51110555506105 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 824608656 + 51109730897449 = 28716^2 + 7149107^2 .

It is a cyclic number.

It is not a de Polignac number, because 51110555506105 - 2³³ = 51101965571513 is a prime.

It is a super-2 number, since 2×51110555506105² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 84894234 + ... + 85494163.

It is an arithmetic number, because the mean of its divisors is an integer number (4059929553345).

Almost surely, 2^{51110555506105} is an apocalyptic number.

It is an amenable number.

51110555506105 is a deficient number, since it is larger than the sum of its proper divisors (13848317347415).

51110555506105 is a wasteful number, since it uses less digits than its factorization.

51110555506105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170391948.

The product of its (nonzero) digits is 93750, while the sum is 40.

The spelling of 51110555506105 in words is "fifty-one trillion, one hundred ten billion, five hundred fifty-five million, five hundred six thousand, one hundred five".