2117517609 has 16 divisors (see below), whose sum is σ = 2969321472. Its totient is φ = 1339663248.

The previous prime is 2117517607. The next prime is 2117517617. The reversal of 2117517609 is 9067157112.

2117517609 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2117517609 - 2¹ = 2117517607 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2117517601) 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, 112059 + ... + 129584.

It is an arithmetic number, because the mean of its divisors is an integer number (185582592).

Almost surely, 2^2117517609 is an apocalyptic number.

It is an amenable number.

2117517609 is a deficient number, since it is larger than the sum of its proper divisors (851803863).

2117517609 is a wasteful number, since it uses less digits than its factorization.

2117517609 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241796.

The product of its (nonzero) digits is 26460, while the sum is 39.

The square root of 2117517609 is about 46016.4927933453. The cubic root of 2117517609 is about 1284.1300533779.

The spelling of 2117517609 in words is "two billion, one hundred seventeen million, five hundred seventeen thousand, six hundred nine".