13257266466517 has 2 divisors, whose sum is σ = 13257266466518. Its totient is φ = 13257266466516.

The previous prime is 13257266466497. The next prime is 13257266466529. The reversal of 13257266466517 is 71566466275231.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6972087101841 + 6285179364676 = 2640471^2 + 2507026^2 .

It is a cyclic number.

It is not a de Polignac number, because 13257266466517 - 2³¹ = 13255118982869 is a prime.

It is a super-2 number, since 2×13257266466517² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13257266466557) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6628633233258 + 6628633233259.

It is an arithmetic number, because the mean of its divisors is an integer number (6628633233259).

Almost surely, 2^{13257266466517} is an apocalyptic number.

It is an amenable number.

13257266466517 is a deficient number, since it is larger than the sum of its proper divisors (1).

13257266466517 is an equidigital number, since it uses as much as digits as its factorization.

13257266466517 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 76204800, while the sum is 61.

The spelling of 13257266466517 in words is "thirteen trillion, two hundred fifty-seven billion, two hundred sixty-six million, four hundred sixty-six thousand, five hundred seventeen".