205322261 has 2 divisors, whose sum is σ = 205322262. Its totient is φ = 205322260.

The previous prime is 205322251. The next prime is 205322263. The reversal of 205322261 is 162223502.

205322261 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 110649361 + 94672900 = 10519^2 + 9730^2 .

It is a cyclic number.

It is not a de Polignac number, because 205322261 - 2⁶ = 205322197 is a prime.

It is a Sophie Germain prime.

Together with 205322263, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (205322263) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 102661130 + 102661131.

It is an arithmetic number, because the mean of its divisors is an integer number (102661131).

Almost surely, 2^205322261 is an apocalyptic number.

It is an amenable number.

205322261 is a deficient number, since it is larger than the sum of its proper divisors (1).

205322261 is an equidigital number, since it uses as much as digits as its factorization.

205322261 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1440, while the sum is 23.

The square root of 205322261 is about 14329.0704862528. The cubic root of 205322261 is about 589.9456629074.

Adding to 205322261 its reverse (162223502), we get a palindrome (367545763).

The spelling of 205322261 in words is "two hundred five million, three hundred twenty-two thousand, two hundred sixty-one".