51756561711121 has 4 divisors (see below), whose sum is σ = 52016644936000. Its totient is φ = 51496478486244.

The previous prime is 51756561711119. The next prime is 51756561711131. The reversal of 51756561711121 is 12111716565715.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 51756561711121 - 2¹ = 51756561711119 is a prime.

It is a super-5 number, since 5×51756561711121⁵ (a number of 70 digits) contains 55555 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (51756561711131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 130041612141 + ... + 130041612538.

It is an arithmetic number, because the mean of its divisors is an integer number (13004161234000).

Almost surely, 2^{51756561711121} is an apocalyptic number.

It is an amenable number.

51756561711121 is a deficient number, since it is larger than the sum of its proper divisors (260083224879).

51756561711121 is a wasteful number, since it uses less digits than its factorization.

51756561711121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260083224878.

The product of its digits is 441000, while the sum is 49.

The spelling of 51756561711121 in words is "fifty-one trillion, seven hundred fifty-six billion, five hundred sixty-one million, seven hundred eleven thousand, one hundred twenty-one".