51141221121105 has 12 divisors (see below), whose sum is σ = 88644783276660. Its totient is φ = 27275317931232.

The previous prime is 51141221121103. The next prime is 51141221121173. The reversal of 51141221121105 is 50112112214115.

51141221121105 is a `hidden beast` number, since 5 + 1 + 1 + 412 + 21 + 121 + 105 = 666.

51141221121105 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 2 ways, for example, as 31442856256449 + 19698364864656 = 5607393^2 + 4438284^2 .

It is not a de Polignac number, because 51141221121105 - 2¹ = 51141221121103 is a prime.

It is not an unprimeable number, because it can be changed into a prime (51141221121103) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 568235790190 + ... + 568235790279.

It is an arithmetic number, because the mean of its divisors is an integer number (7387065273055).

Almost surely, 2^{51141221121105} is an apocalyptic number.

It is an amenable number.

51141221121105 is a deficient number, since it is larger than the sum of its proper divisors (37503562155555).

51141221121105 is a wasteful number, since it uses less digits than its factorization.

51141221121105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1136471580480 (or 1136471580477 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 27.

The spelling of 51141221121105 in words is "fifty-one trillion, one hundred forty-one billion, two hundred twenty-one million, one hundred twenty-one thousand, one hundred five".