10983261017 has 2 divisors, whose sum is σ = 10983261018. Its totient is φ = 10983261016.

The previous prime is 10983260983. The next prime is 10983261019. The reversal of 10983261017 is 71016238901.

10983261017 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10852638976 + 130622041 = 104176^2 + 11429^2 .

It is an emirp because it is prime and its reverse (71016238901) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10983261017 - 2¹⁶ = 10983195481 is a prime.

Together with 10983261019, 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 (10983261019) 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, 5491630508 + 5491630509.

It is an arithmetic number, because the mean of its divisors is an integer number (5491630509).

Almost surely, 2^10983261017 is an apocalyptic number.

It is an amenable number.

10983261017 is a deficient number, since it is larger than the sum of its proper divisors (1).

10983261017 is an equidigital number, since it uses as much as digits as its factorization.

10983261017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18144, while the sum is 38.

Adding to 10983261017 its reverse (71016238901), we get a palindrome (81999499918).

The spelling of 10983261017 in words is "ten billion, nine hundred eighty-three million, two hundred sixty-one thousand, seventeen".