53386710437641 has 81 divisors (see below), whose sum is σ = 66190486832757. Its totient is φ = 42927859699200.

The previous prime is 53386710437633. The next prime is 53386710437657. The reversal of 53386710437641 is 14673401768335.

It is a happy number.

The square root of 53386710437641 is 7306621.

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

It can be written as a sum of positive squares in 4 ways, for example, as 26049540015625 + 27337170422016 = 5103875^2 + 5228496^2 .

It is not a de Polignac number, because 53386710437641 - 2³ = 53386710437633 is a prime.

It is not an unprimeable number, because it can be changed into a prime (53386710437611) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 133133941041 + ... + 133133941441.

Almost surely, 2^{53386710437641} is an apocalyptic number.

53386710437641 is the 7306621-st square number.

53386710437641 is the 3653311-st centered octagonal number.

It is an amenable number.

53386710437641 is a deficient number, since it is larger than the sum of its proper divisors (12803776395116).

53386710437641 is an frugal number, since it uses more digits than its factorization.

53386710437641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1128 (or 564 counting only the distinct ones).

The product of its (nonzero) digits is 30481920, while the sum is 58.

The spelling of 53386710437641 in words is "fifty-three trillion, three hundred eighty-six billion, seven hundred ten million, four hundred thirty-seven thousand, six hundred forty-one".