110605610510617 has 2 divisors, whose sum is σ = 110605610510618. Its totient is φ = 110605610510616.

The previous prime is 110605610510573. The next prime is 110605610510641. The reversal of 110605610510617 is 716015016506011.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 92106458978521 + 18499151532096 = 9597211^2 + 4301064^2 .

It is a cyclic number.

It is not a de Polignac number, because 110605610510617 - 2¹⁵ = 110605610477849 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 110605610510617.

It is not a weakly prime, because it can be changed into another prime (110605610513617) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55302805255308 + 55302805255309.

It is an arithmetic number, because the mean of its divisors is an integer number (55302805255309).

Almost surely, 2^{110605610510617} is an apocalyptic number.

It is an amenable number.

110605610510617 is a deficient number, since it is larger than the sum of its proper divisors (1).

110605610510617 is an equidigital number, since it uses as much as digits as its factorization.

110605610510617 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 37800, while the sum is 40.

The spelling of 110605610510617 in words is "one hundred ten trillion, six hundred five billion, six hundred ten million, five hundred ten thousand, six hundred seventeen".