205303313 has 12 divisors (see below), whose sum is σ = 216884388. Its totient is φ = 194304000.

The previous prime is 205303279. The next prime is 205303327. The reversal of 205303313 is 313303502.

It can be written as a sum of positive squares in 2 ways, for example, as 41770369 + 163532944 = 6463^2 + 12788^2 .

It is not a de Polignac number, because 205303313 - 2⁶ = 205303249 is a prime.

It is not an unprimeable number, because it can be changed into a prime (205303333) 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 11 ways as a sum of consecutive naturals, for example, 49313 + ... + 53313.

It is an arithmetic number, because the mean of its divisors is an integer number (18073699).

Almost surely, 2^205303313 is an apocalyptic number.

205303313 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

205303313 is a deficient number, since it is larger than the sum of its proper divisors (11581075).

205303313 is an equidigital number, since it uses as much as digits as its factorization.

205303313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4144 (or 4121 counting only the distinct ones).

The product of its (nonzero) digits is 810, while the sum is 20.

The square root of 205303313 is about 14328.4092976157. The cubic root of 205303313 is about 589.9275147952.

Adding to 205303313 its reverse (313303502), we get a palindrome (518606815).

The spelling of 205303313 in words is "two hundred five million, three hundred three thousand, three hundred thirteen".