205163934401 has 2 divisors, whose sum is σ = 205163934402. Its totient is φ = 205163934400.

The previous prime is 205163934323. The next prime is 205163934457. The reversal of 205163934401 is 104439361502.

205163934401 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., 187314974401 + 17848960000 = 432799^2 + 133600^2 .

It is a cyclic number.

It is not a de Polignac number, because 205163934401 - 2¹⁴ = 205163918017 is a prime.

It is not a weakly prime, because it can be changed into another prime (205163934301) 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, 102581967200 + 102581967201.

It is an arithmetic number, because the mean of its divisors is an integer number (102581967201).

Almost surely, 2^205163934401 is an apocalyptic number.

It is an amenable number.

205163934401 is a deficient number, since it is larger than the sum of its proper divisors (1).

205163934401 is an equidigital number, since it uses as much as digits as its factorization.

205163934401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 77760, while the sum is 38.

The spelling of 205163934401 in words is "two hundred five billion, one hundred sixty-three million, nine hundred thirty-four thousand, four hundred one".