205968210255361 has 2 divisors, whose sum is σ = 205968210255362. Its totient is φ = 205968210255360.

The previous prime is 205968210255343. The next prime is 205968210255371. The reversal of 205968210255361 is 163552012869502.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 205190011047025 + 778199208336 = 14324455^2 + 882156^2 .

It is a cyclic number.

It is not a de Polignac number, because 205968210255361 - 2⁵ = 205968210255329 is a prime.

It is not a weakly prime, because it can be changed into another prime (205968210255371) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 102984105127680 + 102984105127681.

It is an arithmetic number, because the mean of its divisors is an integer number (102984105127681).

Almost surely, 2^{205968210255361} is an apocalyptic number.

It is an amenable number.

205968210255361 is a deficient number, since it is larger than the sum of its proper divisors (1).

205968210255361 is an equidigital number, since it uses as much as digits as its factorization.

205968210255361 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7776000, while the sum is 55.

The spelling of 205968210255361 in words is "two hundred five trillion, nine hundred sixty-eight billion, two hundred ten million, two hundred fifty-five thousand, three hundred sixty-one".