10209182017 has 16 divisors (see below), whose sum is σ = 10824723072. Its totient is φ = 9608290560.

The previous prime is 10209181993. The next prime is 10209182021. The reversal of 10209182017 is 71028190201.

It is a cyclic number.

It is not a de Polignac number, because 10209182017 - 2⁷ = 10209181889 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10209182017.

It is not an unprimeable number, because it can be changed into a prime (10209182317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1502167 + ... + 1508947.

It is an arithmetic number, because the mean of its divisors is an integer number (676545192).

Almost surely, 2^10209182017 is an apocalyptic number.

It is an amenable number.

10209182017 is a deficient number, since it is larger than the sum of its proper divisors (615541055).

10209182017 is an equidigital number, since it uses as much as digits as its factorization.

10209182017 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7848.

The product of its (nonzero) digits is 2016, while the sum is 31.

The spelling of 10209182017 in words is "ten billion, two hundred nine million, one hundred eighty-two thousand, seventeen".