205506625 has 32 divisors (see below), whose sum is σ = 274633632. Its totient is φ = 152985600.

The previous prime is 205506583. The next prime is 205506629. The reversal of 205506625 is 526605502.

It can be written as a sum of positive squares in 16 ways, for example, as 80156209 + 125350416 = 8953^2 + 11196^2 .

It is not a de Polignac number, because 205506625 - 2¹¹ = 205504577 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (205506629) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 205627 + ... + 206623.

It is an arithmetic number, because the mean of its divisors is an integer number (8582301).

Almost surely, 2^205506625 is an apocalyptic number.

205506625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

205506625 is a deficient number, since it is larger than the sum of its proper divisors (69127007).

205506625 is an equidigital number, since it uses as much as digits as its factorization.

205506625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1126 (or 1116 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 31.

The square root of 205506625 is about 14335.5022583794. The cubic root of 205506625 is about 590.1221857447.

The spelling of 205506625 in words is "two hundred five million, five hundred six thousand, six hundred twenty-five".