204005025 has 36 divisors (see below), whose sum is σ = 417598272. Its totient is φ = 93258720.

The previous prime is 204004973. The next prime is 204005093. The reversal of 204005025 is 520500402.

It is not a de Polignac number, because 204005025 - 2¹⁰ = 204004001 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 204004989 and 204005007.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 63189 + ... + 66338.

It is an arithmetic number, because the mean of its divisors is an integer number (11599952).

Almost surely, 2^204005025 is an apocalyptic number.

204005025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

204005025 is an abundant number, since it is smaller than the sum of its proper divisors (213593247).

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

204005025 is a wasteful number, since it uses less digits than its factorization.

204005025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129550 (or 129542 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 18.

The square root of 204005025 is about 14283.0327661880. The cubic root of 204005025 is about 588.6813651447.

Adding to 204005025 its reverse (520500402), we get a palindrome (724505427).

It can be divided in two parts, 20400 and 5025, that added together give a triangular number (25425 = T₂₂₅).

The spelling of 204005025 in words is "two hundred four million, five thousand, twenty-five".