204724576225 has 27 divisors (see below), whose sum is σ = 274927666059. Its totient is φ = 151159507200.

The previous prime is 204724576223. The next prime is 204724576237. The reversal of 204724576225 is 522675427402.

The square root of 204724576225 is 452465.

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 148034871009 + 56689705216 = 384753^2 + 238096^2 .

It is not a de Polignac number, because 204724576225 - 2¹ = 204724576223 is a prime.

It is a super-2 number, since 2×204724576225² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (204724576223) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 29406745 + ... + 29413705.

Almost surely, 2^204724576225 is an apocalyptic number.

204724576225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

204724576225 is the 452465-th square number.

204724576225 is the 226233-rd centered octagonal number.

It is an amenable number.

204724576225 is a deficient number, since it is larger than the sum of its proper divisors (70203089834).

204724576225 is an frugal number, since it uses more digits than its factorization.

204724576225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13958 (or 6979 counting only the distinct ones).

The product of its (nonzero) digits is 1881600, while the sum is 46.

The spelling of 204724576225 in words is "two hundred four billion, seven hundred twenty-four million, five hundred seventy-six thousand, two hundred twenty-five".