205944652261 has 2 divisors, whose sum is σ = 205944652262. Its totient is φ = 205944652260.

The previous prime is 205944652201. The next prime is 205944652279. The reversal of 205944652261 is 162256449502.

205944652261 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., 167829508900 + 38115143361 = 409670^2 + 195231^2 .

It is a cyclic number.

It is not a de Polignac number, because 205944652261 - 2¹³ = 205944644069 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (205944652201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 102972326130 + 102972326131.

It is an arithmetic number, because the mean of its divisors is an integer number (102972326131).

Almost surely, 2^205944652261 is an apocalyptic number.

It is an amenable number.

205944652261 is a deficient number, since it is larger than the sum of its proper divisors (1).

205944652261 is an equidigital number, since it uses as much as digits as its factorization.

205944652261 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1036800, while the sum is 46.

The spelling of 205944652261 in words is "two hundred five billion, nine hundred forty-four million, six hundred fifty-two thousand, two hundred sixty-one".