2117006613 has 12 divisors (see below), whose sum is σ = 3115595340. Its totient is φ = 1384708416.

The previous prime is 2117006603. The next prime is 2117006629. The reversal of 2117006613 is 3166007112.

It can be written as a sum of positive squares in 2 ways, for example, as 1408275729 + 708730884 = 37527^2 + 26622^2 .

It is not a de Polignac number, because 2117006613 - 2¹⁰ = 2117005589 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2117006603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2218608 + ... + 2219561.

It is an arithmetic number, because the mean of its divisors is an integer number (259632945).

Almost surely, 2^2117006613 is an apocalyptic number.

It is an amenable number.

2117006613 is a deficient number, since it is larger than the sum of its proper divisors (998588727).

2117006613 is a wasteful number, since it uses less digits than its factorization.

2117006613 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4438228 (or 4438225 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 2117006613 is about 46010.9401447091. The cubic root of 2117006613 is about 1284.0267503234.

The spelling of 2117006613 in words is "two billion, one hundred seventeen million, six thousand, six hundred thirteen".