13625309657 has 2 divisors, whose sum is σ = 13625309658. Its totient is φ = 13625309656.

The previous prime is 13625309539. The next prime is 13625309671. The reversal of 13625309657 is 75690352631.

13625309657 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8749918681 + 4875390976 = 93541^2 + 69824^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-13625309657 is a prime.

It is not a weakly prime, because it can be changed into another prime (13625309057) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6812654828 + 6812654829.

It is an arithmetic number, because the mean of its divisors is an integer number (6812654829).

Almost surely, 2^13625309657 is an apocalyptic number.

It is an amenable number.

13625309657 is a deficient number, since it is larger than the sum of its proper divisors (1).

13625309657 is an equidigital number, since it uses as much as digits as its factorization.

13625309657 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1020600, while the sum is 47.

The spelling of 13625309657 in words is "thirteen billion, six hundred twenty-five million, three hundred nine thousand, six hundred fifty-seven".