205012625 has 16 divisors (see below), whose sum is σ = 256341072. Its totient is φ = 163699200.

The previous prime is 205012609. The next prime is 205012651. The reversal of 205012625 is 526210502.

It can be written as a sum of positive squares in 8 ways, for example, as 34527376 + 170485249 = 5876^2 + 13057^2 .

It is not a de Polignac number, because 205012625 - 2⁴ = 205012609 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 205012625.

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 15 ways as a sum of consecutive naturals, for example, 82907 + ... + 85343.

It is an arithmetic number, because the mean of its divisors is an integer number (16021317).

Almost surely, 2^205012625 is an apocalyptic number.

205012625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

205012625 is a deficient number, since it is larger than the sum of its proper divisors (51328447).

205012625 is an equidigital number, since it uses as much as digits as its factorization.

205012625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3125 (or 3115 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 23.

The square root of 205012625 is about 14318.2619406128. The cubic root of 205012625 is about 589.6489580824.

It can be divided in two parts, 20501 and 2625, that multiplied together give a triangular number (53815125 = T₁₀₃₇₄).

The spelling of 205012625 in words is "two hundred five million, twelve thousand, six hundred twenty-five".