12825866657 has 2 divisors, whose sum is σ = 12825866658. Its totient is φ = 12825866656.

The previous prime is 12825866653. The next prime is 12825866659. The reversal of 12825866657 is 75666852821.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7767954496 + 5057912161 = 88136^2 + 71119^2 .

It is a cyclic number.

It is not a de Polignac number, because 12825866657 - 2² = 12825866653 is a prime.

Together with 12825866659, 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 (12825866653) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6412933328 + 6412933329.

It is an arithmetic number, because the mean of its divisors is an integer number (6412933329).

Almost surely, 2^12825866657 is an apocalyptic number.

It is an amenable number.

12825866657 is a deficient number, since it is larger than the sum of its proper divisors (1).

12825866657 is an equidigital number, since it uses as much as digits as its factorization.

12825866657 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 9676800, while the sum is 56.

The spelling of 12825866657 in words is "twelve billion, eight hundred twenty-five million, eight hundred sixty-six thousand, six hundred fifty-seven".