205227263205901 has 2 divisors, whose sum is σ = 205227263205902. Its totient is φ = 205227263205900.

The previous prime is 205227263205883. The next prime is 205227263205919. The reversal of 205227263205901 is 109502362722502.

It is a balanced prime because it is at equal distance from previous prime (205227263205883) and next prime (205227263205919).

It can be written as a sum of positive squares in only one way, i.e., 186616063241001 + 18611199964900 = 13660749^2 + 4314070^2 .

It is a cyclic number.

It is not a de Polignac number, because 205227263205901 - 2⁵ = 205227263205869 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (205227263205931) 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, 102613631602950 + 102613631602951.

It is an arithmetic number, because the mean of its divisors is an integer number (102613631602951).

Almost surely, 2^{205227263205901} is an apocalyptic number.

It is an amenable number.

205227263205901 is a deficient number, since it is larger than the sum of its proper divisors (1).

205227263205901 is an equidigital number, since it uses as much as digits as its factorization.

205227263205901 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 907200, while the sum is 46.

The spelling of 205227263205901 in words is "two hundred five trillion, two hundred twenty-seven billion, two hundred sixty-three million, two hundred five thousand, nine hundred one".