2117687452517 has 16 divisors (see below), whose sum is σ = 2743562693760. Its totient is φ = 1587346984512.

The previous prime is 2117687452513. The next prime is 2117687452519. The reversal of 2117687452517 is 7152547867112.

It is a cyclic number.

It is not a de Polignac number, because 2117687452517 - 2² = 2117687452513 is a prime.

It is a super-2 number, since 2×2117687452517² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2117687452513) 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, 612400658 + ... + 612404115.

It is an arithmetic number, because the mean of its divisors is an integer number (171472668360).

Almost surely, 2^{2117687452517} is an apocalyptic number.

It is an amenable number.

2117687452517 is a deficient number, since it is larger than the sum of its proper divisors (625875241243).

2117687452517 is a wasteful number, since it uses less digits than its factorization.

2117687452517 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1224804812.

The product of its digits is 6585600, while the sum is 56.

The spelling of 2117687452517 in words is "two trillion, one hundred seventeen billion, six hundred eighty-seven million, four hundred fifty-two thousand, five hundred seventeen".