53121022365889 has 9 divisors (see below), whose sum is σ = 53161730185473. Its totient is φ = 53080345710612.

The previous prime is 53121022365869. The next prime is 53121022365913. The reversal of 53121022365889 is 98856322012135.

The square root of 53121022365889 is 7288417.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 53121022365889 - 2³⁵ = 53086662627521 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (53121022365869) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 15181770862 + ... + 15181774360.

It is an arithmetic number, because the mean of its divisors is an integer number (5906858909497).

Almost surely, 2^{53121022365889} is an apocalyptic number.

53121022365889 is the 7288417-th square number.

53121022365889 is the 3644209-th centered octagonal number.

It is an amenable number.

53121022365889 is a deficient number, since it is larger than the sum of its proper divisors (40707819584).

53121022365889 is an frugal number, since it uses more digits than its factorization.

53121022365889 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11164 (or 5582 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 55.

The spelling of 53121022365889 in words is "fifty-three trillion, one hundred twenty-one billion, twenty-two million, three hundred sixty-five thousand, eight hundred eighty-nine".