5510611566617 has 2 divisors, whose sum is σ = 5510611566618. Its totient is φ = 5510611566616.

The previous prime is 5510611566611. The next prime is 5510611566631. The reversal of 5510611566617 is 7166651160155.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2919190942096 + 2591420624521 = 1708564^2 + 1609789^2 .

It is a cyclic number.

It is not a de Polignac number, because 5510611566617 - 2⁶ = 5510611566553 is a prime.

It is not a weakly prime, because it can be changed into another prime (5510611566611) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2755305783308 + 2755305783309.

It is an arithmetic number, because the mean of its divisors is an integer number (2755305783309).

Almost surely, 2^{5510611566617} is an apocalyptic number.

It is an amenable number.

5510611566617 is a deficient number, since it is larger than the sum of its proper divisors (1).

5510611566617 is an equidigital number, since it uses as much as digits as its factorization.

5510611566617 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1134000, while the sum is 50.

The spelling of 5510611566617 in words is "five trillion, five hundred ten billion, six hundred eleven million, five hundred sixty-six thousand, six hundred seventeen".