205413313 has 16 divisors (see below), whose sum is σ = 250510720. Its totient is φ = 164509056.

The previous prime is 205413301. The next prime is 205413317. The reversal of 205413313 is 313314502.

It is a cyclic number.

It is not a de Polignac number, because 205413313 - 2²¹ = 203316161 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (205413317) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 870 + ... + 20287.

It is an arithmetic number, because the mean of its divisors is an integer number (15656920).

Almost surely, 2^205413313 is an apocalyptic number.

It is an amenable number.

205413313 is a deficient number, since it is larger than the sum of its proper divisors (45097407).

205413313 is a wasteful number, since it uses less digits than its factorization.

205413313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21256.

The product of its (nonzero) digits is 1080, while the sum is 22.

The square root of 205413313 is about 14332.2473115698. The cubic root of 205413313 is about 590.0328555868.

Adding to 205413313 its reverse (313314502), we get a palindrome (518727815).

The spelling of 205413313 in words is "two hundred five million, four hundred thirteen thousand, three hundred thirteen".