205188313 has 32 divisors (see below), whose sum is σ = 242694144. Its totient is φ = 171600000.

The previous prime is 205188307. The next prime is 205188331. The reversal of 205188313 is 313881502.

It is not a de Polignac number, because 205188313 - 2¹³ = 205180121 is a prime.

It is not an unprimeable number, because it can be changed into a prime (205188383) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1358788 + ... + 1358938.

It is an arithmetic number, because the mean of its divisors is an integer number (7584192).

Almost surely, 2^205188313 is an apocalyptic number.

205188313 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

205188313 is a deficient number, since it is larger than the sum of its proper divisors (37505831).

205188313 is a wasteful number, since it uses less digits than its factorization.

205188313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 357.

The product of its (nonzero) digits is 5760, while the sum is 31.

The square root of 205188313 is about 14324.3957289653. The cubic root of 205188313 is about 589.8173455465.

The spelling of 205188313 in words is "two hundred five million, one hundred eighty-eight thousand, three hundred thirteen".