204145830625 has 135 divisors (see below), whose sum is σ = 295306680207. Its totient is φ = 140969400000.

The previous prime is 204145830601. The next prime is 204145830649. The reversal of 204145830625 is 526038541402.

The square root of 204145830625 is 451825.

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

It is an interprime number because it is at equal distance from previous prime (204145830601) and next prime (204145830649).

It can be written as a sum of positive squares in 7 ways, for example, as 113277345489 + 90868485136 = 336567^2 + 301444^2 .

It is not a de Polignac number, because 204145830625 - 2¹¹ = 204145828577 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 3851808099 + ... + 3851808151.

Almost surely, 2^204145830625 is an apocalyptic number.

204145830625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

204145830625 is the 451825-th square number.

204145830625 is the 225913-rd centered octagonal number.

It is an amenable number.

204145830625 is a deficient number, since it is larger than the sum of its proper divisors (91160849582).

204145830625 is an frugal number, since it uses more digits than its factorization.

204145830625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 40.

The spelling of 204145830625 in words is "two hundred four billion, one hundred forty-five million, eight hundred thirty thousand, six hundred twenty-five".