10505010017 has 2 divisors, whose sum is σ = 10505010018. Its totient is φ = 10505010016.

The previous prime is 10505009987. The next prime is 10505010023. The reversal of 10505010017 is 71001050501.

10505010017 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., 5515141696 + 4989868321 = 74264^2 + 70639^2 .

It is a cyclic number.

It is not a de Polignac number, because 10505010017 - 2⁶ = 10505009953 is a prime.

It is a super-2 number, since 2×10505010017² (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10505010077) 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, 5252505008 + 5252505009.

It is an arithmetic number, because the mean of its divisors is an integer number (5252505009).

Almost surely, 2^10505010017 is an apocalyptic number.

It is an amenable number.

10505010017 is a deficient number, since it is larger than the sum of its proper divisors (1).

10505010017 is an equidigital number, since it uses as much as digits as its factorization.

10505010017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 175, while the sum is 20.

Adding to 10505010017 its reverse (71001050501), we get a palindrome (81506060518).

The spelling of 10505010017 in words is "ten billion, five hundred five million, ten thousand, seventeen".