10517117809 has 9 divisors (see below), whose sum is σ = 11561377849. Its totient is φ = 9559990660.

The previous prime is 10517117801. The next prime is 10517117833. The reversal of 10517117809 is 90871171501.

The square root of 10517117809 is 102553.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 10517117809 - 2³ = 10517117801 is a prime.

It is a super-2 number, since 2×10517117809² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10517117801) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1123422 + ... + 1132744.

Almost surely, 2^10517117809 is an apocalyptic number.

10517117809 is the 102553-rd square number.

10517117809 is the 51277-th centered octagonal number.

It is an amenable number.

10517117809 is a deficient number, since it is larger than the sum of its proper divisors (1044260040).

10517117809 is an frugal number, since it uses more digits than its factorization.

10517117809 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18668 (or 9334 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 40.

The spelling of 10517117809 in words is "ten billion, five hundred seventeen million, one hundred seventeen thousand, eight hundred nine".