204896549025 has 189 divisors, whose sum is σ = 444053554851. Its totient is φ = 93471446880.

The previous prime is 204896549023. The next prime is 204896549063. The reversal of 204896549025 is 520945698402.

The square root of 204896549025 is 452655.

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

204896549025 is a `hidden beast` number, since 2 + 0 + 4 + 8 + 96 + 549 + 0 + 2 + 5 = 666.

204896549025 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., 73762757649 + 131133791376 = 271593^2 + 362124^2 .

It is a tau number, because it is divible by the number of its divisors (189).

It is not a de Polignac number, because 204896549025 - 2¹ = 204896549023 is a prime.

It is not an unprimeable number, because it can be changed into a prime (204896549023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 188 ways as a sum of consecutive naturals, for example, 427758736 + ... + 427759214.

Almost surely, 2^204896549025 is an apocalyptic number.

204896549025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

204896549025 is the 452655-th square number.

204896549025 is the 226328-th centered octagonal number.

It is an amenable number.

204896549025 is an abundant number, since it is smaller than the sum of its proper divisors (239157005826).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

204896549025 is an frugal number, since it uses more digits than its factorization.

204896549025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1000 (or 494 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 204896549025 in words is "two hundred four billion, eight hundred ninety-six million, five hundred forty-nine thousand, twenty-five".