13665082001257 has 2 divisors, whose sum is σ = 13665082001258. Its totient is φ = 13665082001256.

The previous prime is 13665082001227. The next prime is 13665082001261. The reversal of 13665082001257 is 75210028056631.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9644651981056 + 4020430020201 = 3105584^2 + 2005101^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-13665082001257 is a prime.

It is a super-2 number, since 2×13665082001257² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (13665082001227) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6832541000628 + 6832541000629.

It is an arithmetic number, because the mean of its divisors is an integer number (6832541000629).

Almost surely, 2^{13665082001257} is an apocalyptic number.

It is an amenable number.

13665082001257 is a deficient number, since it is larger than the sum of its proper divisors (1).

13665082001257 is an equidigital number, since it uses as much as digits as its factorization.

13665082001257 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 604800, while the sum is 46.

The spelling of 13665082001257 in words is "thirteen trillion, six hundred sixty-five billion, eighty-two million, one thousand, two hundred fifty-seven".