205522313 has 2 divisors, whose sum is σ = 205522314. Its totient is φ = 205522312.

The previous prime is 205522307. The next prime is 205522337. The reversal of 205522313 is 313225502.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 120384784 + 85137529 = 10972^2 + 9227^2 .

It is a cyclic number.

It is not a de Polignac number, because 205522313 - 2¹⁸ = 205260169 is a prime.

It is a super-2 number, since 2×205522313² = 84478842281739938, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (205522613) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 102761156 + 102761157.

It is an arithmetic number, because the mean of its divisors is an integer number (102761157).

Almost surely, 2^205522313 is an apocalyptic number.

It is an amenable number.

205522313 is a deficient number, since it is larger than the sum of its proper divisors (1).

205522313 is an equidigital number, since it uses as much as digits as its factorization.

205522313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1800, while the sum is 23.

The square root of 205522313 is about 14336.0494209528. The cubic root of 205522313 is about 590.1372016455.

Adding to 205522313 its reverse (313225502), we get a palindrome (518747815).

The spelling of 205522313 in words is "two hundred five million, five hundred twenty-two thousand, three hundred thirteen".