205085925 has 144 divisors (see below), whose sum is σ = 432750080. Its totient is φ = 96228000.

The previous prime is 205085911. The next prime is 205085929. The reversal of 205085925 is 529580502.

It is not a de Polignac number, because 205085925 - 2¹¹ = 205083877 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 205085925.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205085929) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 6615660 + ... + 6615690.

Almost surely, 2^205085925 is an apocalyptic number.

205085925 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

205085925 is an abundant number, since it is smaller than the sum of its proper divisors (227664155).

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

205085925 is an equidigital number, since it uses as much as digits as its factorization.

205085925 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

The square root of 205085925 is about 14320.8213800745. The cubic root of 205085925 is about 589.7192238665.

The spelling of 205085925 in words is "two hundred five million, eighty-five thousand, nine hundred twenty-five".