10775209116673 has 2 divisors, whose sum is σ = 10775209116674. Its totient is φ = 10775209116672.

The previous prime is 10775209116649. The next prime is 10775209116697. The reversal of 10775209116673 is 37661190257701.

It is a balanced prime because it is at equal distance from previous prime (10775209116649) and next prime (10775209116697).

It can be written as a sum of positive squares in only one way, i.e., 10772882790849 + 2326325824 = 3282207^2 + 48232^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10775209116673 is a prime.

It is a super-3 number, since 3×10775209116673³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (10775209716673) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5387604558336 + 5387604558337.

It is an arithmetic number, because the mean of its divisors is an integer number (5387604558337).

Almost surely, 2^{10775209116673} is an apocalyptic number.

It is an amenable number.

10775209116673 is a deficient number, since it is larger than the sum of its proper divisors (1).

10775209116673 is an equidigital number, since it uses as much as digits as its factorization.

10775209116673 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3333960, while the sum is 55.

The spelling of 10775209116673 in words is "ten trillion, seven hundred seventy-five billion, two hundred nine million, one hundred sixteen thousand, six hundred seventy-three".