2117706516065 has 32 divisors (see below), whose sum is σ = 2995917767424. Its totient is φ = 1406670140160.

The previous prime is 2117706516049. The next prime is 2117706516089. The reversal of 2117706516065 is 5606156077112.

It is a happy number.

It is not a de Polignac number, because 2117706516065 - 2⁴ = 2117706516049 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3308006 + ... + 3895935.

It is an arithmetic number, because the mean of its divisors is an integer number (93622430232).

Almost surely, 2^{2117706516065} is an apocalyptic number.

It is an amenable number.

2117706516065 is a deficient number, since it is larger than the sum of its proper divisors (878211251359).

2117706516065 is a wasteful number, since it uses less digits than its factorization.

2117706516065 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7204217.

The product of its (nonzero) digits is 529200, while the sum is 47.

The spelling of 2117706516065 in words is "two trillion, one hundred seventeen billion, seven hundred six million, five hundred sixteen thousand, sixty-five".