2005117175 has 12 divisors (see below), whose sum is σ = 2498135496. Its totient is φ = 1596487200.

The previous prime is 2005117157. The next prime is 2005117189. The reversal of 2005117175 is 5717115002.

It is not a de Polignac number, because 2005117175 - 2⁶ = 2005117111 is a prime.

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

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, 184784 + ... + 195333.

It is an arithmetic number, because the mean of its divisors is an integer number (208177958).

Almost surely, 2^2005117175 is an apocalyptic number.

2005117175 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2005117175 is a deficient number, since it is larger than the sum of its proper divisors (493018321).

2005117175 is a wasteful number, since it uses less digits than its factorization.

2005117175 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380338 (or 380333 counting only the distinct ones).

The product of its (nonzero) digits is 2450, while the sum is 29.

The square root of 2005117175 is about 44778.5347571803. The cubic root of 2005117175 is about 1260.9946741774.

The spelling of 2005117175 in words is "two billion, five million, one hundred seventeen thousand, one hundred seventy-five".