23205506252657 has 2 divisors, whose sum is σ = 23205506252658. Its totient is φ = 23205506252656.

The previous prime is 23205506252653. The next prime is 23205506252659. The reversal of 23205506252657 is 75625260550232.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 14972945121121 + 8232561131536 = 3869489^2 + 2869244^2 .

It is a cyclic number.

It is not a de Polignac number, because 23205506252657 - 2² = 23205506252653 is a prime.

Together with 23205506252659, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (23205506252653) 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, 11602753126328 + 11602753126329.

It is an arithmetic number, because the mean of its divisors is an integer number (11602753126329).

Almost surely, 2^{23205506252657} is an apocalyptic number.

It is an amenable number.

23205506252657 is a deficient number, since it is larger than the sum of its proper divisors (1).

23205506252657 is an equidigital number, since it uses as much as digits as its factorization.

23205506252657 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7560000, while the sum is 50.

The spelling of 23205506252657 in words is "twenty-three trillion, two hundred five billion, five hundred six million, two hundred fifty-two thousand, six hundred fifty-seven".