205323142961 has 2 divisors, whose sum is σ = 205323142962. Its totient is φ = 205323142960.

The previous prime is 205323142909. The next prime is 205323142967. The reversal of 205323142961 is 169241323502.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 158677942336 + 46645200625 = 398344^2 + 215975^2 .

It is a cyclic number.

It is not a de Polignac number, because 205323142961 - 2⁶ = 205323142897 is a prime.

It is not a weakly prime, because it can be changed into another prime (205323142967) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 102661571480 + 102661571481.

It is an arithmetic number, because the mean of its divisors is an integer number (102661571481).

Almost surely, 2^205323142961 is an apocalyptic number.

It is an amenable number.

205323142961 is a deficient number, since it is larger than the sum of its proper divisors (1).

205323142961 is an equidigital number, since it uses as much as digits as its factorization.

205323142961 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 205323142961 in words is "two hundred five billion, three hundred twenty-three million, one hundred forty-two thousand, nine hundred sixty-one".