204123026588569 has 81 divisors (see below), whose sum is σ = 236755214423679. Its totient is φ = 175841830311840.

The previous prime is 204123026588543. The next prime is 204123026588573. The reversal of 204123026588569 is 965885620321402.

The square root of 204123026588569 is 14287163.

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

204123026588569 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 only one way, i.e., 23914417916169 + 180208608672400 = 4890237^2 + 13424180^2 .

It is not a de Polignac number, because 204123026588569 - 2¹⁵ = 204123026555801 is a prime.

It is a super-2 number, since 2×204123026588569² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (204123026588869) 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, 538583183422 + ... + 538583183800.

Almost surely, 2^{204123026588569} is an apocalyptic number.

204123026588569 is the 14287163-rd square number.

204123026588569 is the 7143582-nd centered octagonal number.

It is an amenable number.

204123026588569 is a deficient number, since it is larger than the sum of its proper divisors (32632187835110).

204123026588569 is an frugal number, since it uses more digits than its factorization.

204123026588569 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1124 (or 562 counting only the distinct ones).

The product of its (nonzero) digits is 49766400, while the sum is 61.

The spelling of 204123026588569 in words is "two hundred four trillion, one hundred twenty-three billion, twenty-six million, five hundred eighty-eight thousand, five hundred sixty-nine".