205525304625 has 16 divisors (see below), whose sum is σ = 341994107520. Its totient is φ = 109613495600.

The previous prime is 205525304603. The next prime is 205525304639. The reversal of 205525304625 is 526403525502.

205525304625 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 205525304625 - 2²⁵ = 205491750193 is a prime.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 274033365 + ... + 274034114.

It is an arithmetic number, because the mean of its divisors is an integer number (21374631720).

Almost surely, 2^205525304625 is an apocalyptic number.

205525304625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

205525304625 is a deficient number, since it is larger than the sum of its proper divisors (136468802895).

205525304625 is an equidigital number, since it uses as much as digits as its factorization.

205525304625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 548067497 (or 548067487 counting only the distinct ones).

The product of its (nonzero) digits is 360000, while the sum is 39.

The spelling of 205525304625 in words is "two hundred five billion, five hundred twenty-five million, three hundred four thousand, six hundred twenty-five".