205759790261 has 2 divisors, whose sum is σ = 205759790262. Its totient is φ = 205759790260.

The previous prime is 205759790237. The next prime is 205759790267. The reversal of 205759790261 is 162097957502.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 191165700625 + 14594089636 = 437225^2 + 120806^2 .

It is a cyclic number.

It is not a de Polignac number, because 205759790261 - 2¹⁰ = 205759789237 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (205759790267) 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, 102879895130 + 102879895131.

It is an arithmetic number, because the mean of its divisors is an integer number (102879895131).

Almost surely, 2^205759790261 is an apocalyptic number.

It is an amenable number.

205759790261 is a deficient number, since it is larger than the sum of its proper divisors (1).

205759790261 is an equidigital number, since it uses as much as digits as its factorization.

205759790261 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2381400, while the sum is 53.

The spelling of 205759790261 in words is "two hundred five billion, seven hundred fifty-nine million, seven hundred ninety thousand, two hundred sixty-one".