23265265655113 has 2 divisors, whose sum is σ = 23265265655114. Its totient is φ = 23265265655112.

The previous prime is 23265265655059. The next prime is 23265265655123. The reversal of 23265265655113 is 31155656256232.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 20900550610944 + 2364715044169 = 4571712^2 + 1537763^2 .

It is a cyclic number.

It is not a de Polignac number, because 23265265655113 - 2¹⁷ = 23265265524041 is a prime.

It is not a weakly prime, because it can be changed into another prime (23265265655123) 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, 11632632827556 + 11632632827557.

It is an arithmetic number, because the mean of its divisors is an integer number (11632632827557).

Almost surely, 2^{23265265655113} is an apocalyptic number.

It is an amenable number.

23265265655113 is a deficient number, since it is larger than the sum of its proper divisors (1).

23265265655113 is an equidigital number, since it uses as much as digits as its factorization.

23265265655113 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 9720000, while the sum is 52.

The spelling of 23265265655113 in words is "twenty-three trillion, two hundred sixty-five billion, two hundred sixty-five million, six hundred fifty-five thousand, one hundred thirteen".