2117957511 has 8 divisors (see below), whose sum is σ = 2824171264. Its totient is φ = 1411857720.

The previous prime is 2117957503. The next prime is 2117957519. The reversal of 2117957511 is 1157597112.

It is an interprime number because it is at equal distance from previous prime (2117957503) and next prime (2117957519).

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 2117957511 - 2³ = 2117957503 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 2117957511.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2117957519) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35250 + ... + 74016.

It is an arithmetic number, because the mean of its divisors is an integer number (353021408).

Almost surely, 2^2117957511 is an apocalyptic number.

2117957511 is a deficient number, since it is larger than the sum of its proper divisors (706213753).

2117957511 is a wasteful number, since it uses less digits than its factorization.

2117957511 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56981.

The product of its digits is 22050, while the sum is 39.

The square root of 2117957511 is about 46021.2723748486. The cubic root of 2117957511 is about 1284.2189707441.

The spelling of 2117957511 in words is "two billion, one hundred seventeen million, nine hundred fifty-seven thousand, five hundred eleven".