23205322314529 has 2 divisors, whose sum is σ = 23205322314530. Its totient is φ = 23205322314528.

The previous prime is 23205322314527. The next prime is 23205322314589. The reversal of 23205322314529 is 92541322350232.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 13967613104929 + 9237709209600 = 3737327^2 + 3039360^2 .

It is a cyclic number.

It is not a de Polignac number, because 23205322314529 - 2¹ = 23205322314527 is a prime.

Together with 23205322314527, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (23205322314527) 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, 11602661157264 + 11602661157265.

It is an arithmetic number, because the mean of its divisors is an integer number (11602661157265).

Almost surely, 2^{23205322314529} is an apocalyptic number.

It is an amenable number.

23205322314529 is a deficient number, since it is larger than the sum of its proper divisors (1).

23205322314529 is an equidigital number, since it uses as much as digits as its factorization.

23205322314529 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 777600, while the sum is 43.

The spelling of 23205322314529 in words is "twenty-three trillion, two hundred five billion, three hundred twenty-two million, three hundred fourteen thousand, five hundred twenty-nine".