12603723466517 has 2 divisors, whose sum is σ = 12603723466518. Its totient is φ = 12603723466516.

The previous prime is 12603723466511. The next prime is 12603723466519. The reversal of 12603723466517 is 71566432730621.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10828897351441 + 1774826115076 = 3290729^2 + 1332226^2 .

It is a cyclic number.

It is not a de Polignac number, because 12603723466517 - 2¹⁶ = 12603723400981 is a prime.

It is a super-2 number, since 2×12603723466517² (a number of 27 digits) contains 22 as substring.

Together with 12603723466519, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12603723466511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6301861733258 + 6301861733259.

It is an arithmetic number, because the mean of its divisors is an integer number (6301861733259).

Almost surely, 2^{12603723466517} is an apocalyptic number.

It is an amenable number.

12603723466517 is a deficient number, since it is larger than the sum of its proper divisors (1).

12603723466517 is an equidigital number, since it uses as much as digits as its factorization.

12603723466517 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7620480, while the sum is 53.

The spelling of 12603723466517 in words is "twelve trillion, six hundred three billion, seven hundred twenty-three million, four hundred sixty-six thousand, five hundred seventeen".