10776000017 has 2 divisors, whose sum is σ = 10776000018. Its totient is φ = 10776000016.

The previous prime is 10775999989. The next prime is 10776000019. The reversal of 10776000017 is 71000067701.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6019277056 + 4756722961 = 77584^2 + 68969^2 .

It is a cyclic number.

It is not a de Polignac number, because 10776000017 - 2¹⁰ = 10775998993 is a prime.

It is a super-2 number, since 2×10776000017² (a number of 21 digits) contains 22 as substring.

Together with 10776000019, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (10776000019) 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, 5388000008 + 5388000009.

It is an arithmetic number, because the mean of its divisors is an integer number (5388000009).

Almost surely, 2^10776000017 is an apocalyptic number.

It is an amenable number.

10776000017 is a deficient number, since it is larger than the sum of its proper divisors (1).

10776000017 is an equidigital number, since it uses as much as digits as its factorization.

10776000017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2058, while the sum is 29.

Adding to 10776000017 its reverse (71000067701), we get a palindrome (81776067718).

The spelling of 10776000017 in words is "ten billion, seven hundred seventy-six million, seventeen", and thus it is an aban number.