53561220711417 has 24 divisors (see below), whose sum is σ = 77392720469064. Its totient is φ = 35695245970944.

The previous prime is 53561220711389. The next prime is 53561220711419. The reversal of 53561220711417 is 71411702216535.

53561220711417 is a `hidden beast` number, since 5 + 3 + 5 + 6 + 1 + 220 + 7 + 1 + 1 + 417 = 666.

53561220711417 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 4 ways, for example, as 25610289756921 + 27950930954496 = 5060661^2 + 5286864^2 .

It is not a de Polignac number, because 53561220711417 - 2¹² = 53561220707321 is a prime.

It is not an unprimeable number, because it can be changed into a prime (53561220711419) 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 23 ways as a sum of consecutive naturals, for example, 318253263 + ... + 318421515.

It is an arithmetic number, because the mean of its divisors is an integer number (3224696686211).

Almost surely, 2^{53561220711417} is an apocalyptic number.

It is an amenable number.

53561220711417 is a deficient number, since it is larger than the sum of its proper divisors (23831499757647).

53561220711417 is a wasteful number, since it uses less digits than its factorization.

53561220711417 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180169 (or 180166 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 45.

The spelling of 53561220711417 in words is "fifty-three trillion, five hundred sixty-one billion, two hundred twenty million, seven hundred eleven thousand, four hundred seventeen".