10009134617 has 32 divisors (see below), whose sum is σ = 10790599680. Its totient is φ = 9267005440.

The previous prime is 10009134599. The next prime is 10009134637. The reversal of 10009134617 is 71643190001.

It is a cyclic number.

It is not a de Polignac number, because 10009134617 - 2²² = 10004940313 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10009134637) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28354313 + ... + 28354665.

It is an arithmetic number, because the mean of its divisors is an integer number (337206240).

Almost surely, 2^10009134617 is an apocalyptic number.

It is an amenable number.

10009134617 is a deficient number, since it is larger than the sum of its proper divisors (781465063).

10009134617 is a wasteful number, since it uses less digits than its factorization.

10009134617 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 793.

The product of its (nonzero) digits is 4536, while the sum is 32.

The spelling of 10009134617 in words is "ten billion, nine million, one hundred thirty-four thousand, six hundred seventeen".