205805164913 has 2 divisors, whose sum is σ = 205805164914. Its totient is φ = 205805164912.

The previous prime is 205805164879. The next prime is 205805164931. The reversal of 205805164913 is 319461508502.

It is a happy number.

Together with next prime (205805164931) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 147462144064 + 58343020849 = 384008^2 + 241543^2 .

It is a cyclic number.

It is not a de Polignac number, because 205805164913 - 2²⁶ = 205738056049 is a prime.

It is not a weakly prime, because it can be changed into another prime (205805164813) 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, 102902582456 + 102902582457.

It is an arithmetic number, because the mean of its divisors is an integer number (102902582457).

Almost surely, 2^205805164913 is an apocalyptic number.

It is an amenable number.

205805164913 is a deficient number, since it is larger than the sum of its proper divisors (1).

205805164913 is an equidigital number, since it uses as much as digits as its factorization.

205805164913 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 259200, while the sum is 44.

The spelling of 205805164913 in words is "two hundred five billion, eight hundred five million, one hundred sixty-four thousand, nine hundred thirteen".