20004356657617 has 2 divisors, whose sum is σ = 20004356657618. Its totient is φ = 20004356657616.

The previous prime is 20004356657573. The next prime is 20004356657651. The reversal of 20004356657617 is 71675665340002.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10134856893841 + 9869499763776 = 3183529^2 + 3141576^2 .

It is a cyclic number.

It is not a de Polignac number, because 20004356657617 - 2⁷ = 20004356657489 is a prime.

It is not a weakly prime, because it can be changed into another prime (20004356657017) 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, 10002178328808 + 10002178328809.

It is an arithmetic number, because the mean of its divisors is an integer number (10002178328809).

Almost surely, 2^{20004356657617} is an apocalyptic number.

It is an amenable number.

20004356657617 is a deficient number, since it is larger than the sum of its proper divisors (1).

20004356657617 is an equidigital number, since it uses as much as digits as its factorization.

20004356657617 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6350400, while the sum is 52.

The spelling of 20004356657617 in words is "twenty trillion, four billion, three hundred fifty-six million, six hundred fifty-seven thousand, six hundred seventeen".