204941817025 has 27 divisors (see below), whose sum is σ = 279364555939. Its totient is φ = 149030486000.

The previous prime is 204941817019. The next prime is 204941817029. The reversal of 204941817025 is 520718149402.

The square root of 204941817025 is 452705.

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., 73779054129 + 131162762896 = 271623^2 + 362164^2 .

It is not a de Polignac number, because 204941817025 - 2¹⁷ = 204941685953 is a prime.

It is a super-2 number, since 2×204941817025² (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 (204941817029) 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, 24894660 + ... + 24902890.

Almost surely, 2^204941817025 is an apocalyptic number.

204941817025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

204941817025 is the 452705-th square number.

204941817025 is the 226353-rd centered octagonal number.

It is an amenable number.

204941817025 is a deficient number, since it is larger than the sum of its proper divisors (74422738914).

204941817025 is an frugal number, since it uses more digits than its factorization.

204941817025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16494 (or 8247 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 43.

The spelling of 204941817025 in words is "two hundred four billion, nine hundred forty-one million, eight hundred seventeen thousand, twenty-five".