205824173490097 has 2 divisors, whose sum is σ = 205824173490098. Its totient is φ = 205824173490096.

The previous prime is 205824173490079. The next prime is 205824173490119. The reversal of 205824173490097 is 790094371428502.

Together with previous prime (205824173490079) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 136088463164416 + 69735710325681 = 11665696^2 + 8350791^2 .

It is a cyclic number.

It is not a de Polignac number, because 205824173490097 - 2⁷ = 205824173489969 is a prime.

It is not a weakly prime, because it can be changed into another prime (205824173490037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 102912086745048 + 102912086745049.

It is an arithmetic number, because the mean of its divisors is an integer number (102912086745049).

Almost surely, 2^{205824173490097} is an apocalyptic number.

It is an amenable number.

205824173490097 is a deficient number, since it is larger than the sum of its proper divisors (1).

205824173490097 is an equidigital number, since it uses as much as digits as its factorization.

205824173490097 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 30481920, while the sum is 61.

The spelling of 205824173490097 in words is "two hundred five trillion, eight hundred twenty-four billion, one hundred seventy-three million, four hundred ninety thousand, ninety-seven".