10605506017 has 2 divisors, whose sum is σ = 10605506018. Its totient is φ = 10605506016.

The previous prime is 10605506003. The next prime is 10605506033. The reversal of 10605506017 is 71060550601.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8209990881 + 2395515136 = 90609^2 + 48944^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10605506017 is a prime.

It is a super-2 number, since 2×10605506017² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10605506017.

It is not a weakly prime, because it can be changed into another prime (10605506047) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5302753008 + 5302753009.

It is an arithmetic number, because the mean of its divisors is an integer number (5302753009).

Almost surely, 2^10605506017 is an apocalyptic number.

It is an amenable number.

10605506017 is a deficient number, since it is larger than the sum of its proper divisors (1).

10605506017 is an equidigital number, since it uses as much as digits as its factorization.

10605506017 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6300, while the sum is 31.

The spelling of 10605506017 in words is "ten billion, six hundred five million, five hundred six thousand, seventeen".