204565040225 has 144 divisors (see below), whose sum is σ = 326115627264. Its totient is φ = 124540416000.

The previous prime is 204565040221. The next prime is 204565040233. The reversal of 204565040225 is 522040565402.

It is not a de Polignac number, because 204565040225 - 2² = 204565040221 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is not an unprimeable number, because it can be changed into a prime (204565040221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 88516820 + ... + 88519130.

It is an arithmetic number, because the mean of its divisors is an integer number (2264691856).

Almost surely, 2^204565040225 is an apocalyptic number.

204565040225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

204565040225 is a deficient number, since it is larger than the sum of its proper divisors (121550587039).

204565040225 is a wasteful number, since it uses less digits than its factorization.

204565040225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2468 (or 2450 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 35.

The spelling of 204565040225 in words is "two hundred four billion, five hundred sixty-five million, forty thousand, two hundred twenty-five".