205335313 has 4 divisors (see below), whose sum is σ = 205373988. Its totient is φ = 205296640.

The previous prime is 205335307. The next prime is 205335331. The reversal of 205335313 is 313533502.

It is a happy number.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 313533502 = 2 ⋅156766751.

It can be written as a sum of positive squares in 2 ways, for example, as 84511249 + 120824064 = 9193^2 + 10992^2 .

It is a cyclic number.

It is not a de Polignac number, because 205335313 - 2¹³ = 205327121 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (205335343) 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 3 ways as a sum of consecutive naturals, for example, 9808 + ... + 22513.

It is an arithmetic number, because the mean of its divisors is an integer number (51343497).

Almost surely, 2^205335313 is an apocalyptic number.

It is an amenable number.

205335313 is a deficient number, since it is larger than the sum of its proper divisors (38675).

205335313 is an equidigital number, since it uses as much as digits as its factorization.

205335313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38674.

The product of its (nonzero) digits is 4050, while the sum is 25.

The square root of 205335313 is about 14329.5259167915. The cubic root of 205335313 is about 589.9581632692.

Adding to 205335313 its reverse (313533502), we get a palindrome (518868815).

The spelling of 205335313 in words is "two hundred five million, three hundred thirty-five thousand, three hundred thirteen".