205959113 has 8 divisors (see below), whose sum is σ = 214965576. Its totient is φ = 197142400.

The previous prime is 205959077. The next prime is 205959137. The reversal of 205959113 is 311959502.

It can be written as a sum of positive squares in 4 ways, for example, as 1669264 + 204289849 = 1292^2 + 14293^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 205959113 - 2⁶ = 205959049 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (205959163) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 45218 + ... + 49563.

It is an arithmetic number, because the mean of its divisors is an integer number (26870697).

Almost surely, 2^205959113 is an apocalyptic number.

It is an amenable number.

205959113 is a deficient number, since it is larger than the sum of its proper divisors (9006463).

205959113 is an equidigital number, since it uses as much as digits as its factorization.

205959113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94875.

The product of its (nonzero) digits is 12150, while the sum is 35.

The square root of 205959113 is about 14351.2756575853. The cubic root of 205959113 is about 590.5549819595.

The spelling of 205959113 in words is "two hundred five million, nine hundred fifty-nine thousand, one hundred thirteen".