10517617113 has 16 divisors (see below), whose sum is σ = 14084928000. Its totient is φ = 6981094400.

The previous prime is 10517617091. The next prime is 10517617129. The reversal of 10517617113 is 31171671501.

It is a cyclic number.

It is not a de Polignac number, because 10517617113 - 2⁶ = 10517617049 is a prime.

It is a super-2 number, since 2×10517617113² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10517617013) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 637063 + ... + 653363.

It is an arithmetic number, because the mean of its divisors is an integer number (880308000).

Almost surely, 2^10517617113 is an apocalyptic number.

It is an amenable number.

10517617113 is a deficient number, since it is larger than the sum of its proper divisors (3567310887).

10517617113 is a wasteful number, since it uses less digits than its factorization.

10517617113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17232.

The product of its (nonzero) digits is 4410, while the sum is 33.

The spelling of 10517617113 in words is "ten billion, five hundred seventeen million, six hundred seventeen thousand, one hundred thirteen".