204324792529 has 81 divisors (see below), whose sum is σ = 254200434579. Its totient is φ = 164030106240.

The previous prime is 204324792521. The next prime is 204324792547. The reversal of 204324792529 is 925297423402.

It is a happy number.

The square root of 204324792529 is 452023.

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

It can be written as a sum of positive squares in 13 ways, for example, as 135023177025 + 69301615504 = 367455^2 + 263252^2 .

It is not a de Polignac number, because 204324792529 - 2³ = 204324792521 is a prime.

It is not an unprimeable number, because it can be changed into a prime (204324792521) 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, 1874539327 + ... + 1874539435.

Almost surely, 2^204324792529 is an apocalyptic number.

204324792529 is a gapful number since it is divisible by the number (29) formed by its first and last digit.

204324792529 is the 452023-rd square number.

204324792529 is the 226012-nd centered octagonal number.

It is an amenable number.

204324792529 is a deficient number, since it is larger than the sum of its proper divisors (49875642050).

204324792529 is a wasteful number, since it uses less digits than its factorization.

204324792529 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 49.

Multiplying 204324792529 by its sum of digits (49), we get a square (10011914833921 = 3164161²).

The spelling of 204324792529 in words is "two hundred four billion, three hundred twenty-four million, seven hundred ninety-two thousand, five hundred twenty-nine".