205352613161161 has 2 divisors, whose sum is σ = 205352613161162. Its totient is φ = 205352613161160.

The previous prime is 205352613161119. The next prime is 205352613161167. The reversal of 205352613161161 is 161161316253502.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 105276218576400 + 100076394584761 = 10260420^2 + 10003819^2 .

It is a cyclic number.

It is not a de Polignac number, because 205352613161161 - 2⁹ = 205352613160649 is a prime.

It is not a weakly prime, because it can be changed into another prime (205352613161167) 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, 102676306580580 + 102676306580581.

It is an arithmetic number, because the mean of its divisors is an integer number (102676306580581).

Almost surely, 2^{205352613161161} is an apocalyptic number.

It is an amenable number.

205352613161161 is a deficient number, since it is larger than the sum of its proper divisors (1).

205352613161161 is an equidigital number, since it uses as much as digits as its factorization.

205352613161161 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 194400, while the sum is 43.

The spelling of 205352613161161 in words is "two hundred five trillion, three hundred fifty-two billion, six hundred thirteen million, one hundred sixty-one thousand, one hundred sixty-one".