52088365569529 has 9 divisors (see below), whose sum is σ = 52307143346511. Its totient is φ = 51870499138080.

The previous prime is 52088365569439. The next prime is 52088365569551. The reversal of 52088365569529 is 92596556388025.

The square root of 52088365569529 is 7217227.

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

It can be written as a sum of positive squares in only one way, i.e., 39174117119929 + 12914248449600 = 6258923^2 + 3593640^2 .

It is not a de Polignac number, because 52088365569529 - 2⁴¹ = 49889342313977 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (52088365569599) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1739336734 + ... + 1739366680.

It is an arithmetic number, because the mean of its divisors is an integer number (5811904816279).

Almost surely, 2^{52088365569529} is an apocalyptic number.

52088365569529 is the 7217227-th square number.

52088365569529 is the 3608614-th centered octagonal number.

It is an amenable number.

52088365569529 is a deficient number, since it is larger than the sum of its proper divisors (218777776982).

52088365569529 is an frugal number, since it uses more digits than its factorization.

52088365569529 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60376 (or 30188 counting only the distinct ones).

The product of its (nonzero) digits is 1399680000, while the sum is 73.

The spelling of 52088365569529 in words is "fifty-two trillion, eighty-eight billion, three hundred sixty-five million, five hundred sixty-nine thousand, five hundred twenty-nine".