8005117875 has 16 divisors (see below), whose sum is σ = 13320516768. Its totient is φ = 4269396000.

The previous prime is 8005117871. The next prime is 8005117889. The reversal of 8005117875 is 5787115008.

It is not a de Polignac number, because 8005117875 - 2² = 8005117871 is a prime.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (8005117871) 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 15 ways as a sum of consecutive naturals, for example, 10673116 + ... + 10673865.

It is an arithmetic number, because the mean of its divisors is an integer number (832532298).

Almost surely, 2^8005117875 is an apocalyptic number.

8005117875 is a deficient number, since it is larger than the sum of its proper divisors (5315398893).

8005117875 is a wasteful number, since it uses less digits than its factorization.

8005117875 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21346999 (or 21346989 counting only the distinct ones).

The product of its (nonzero) digits is 78400, while the sum is 42.

The square root of 8005117875 is about 89471.3243167888. The cubic root of 8005117875 is about 2000.4263986690.

The spelling of 8005117875 in words is "eight billion, five million, one hundred seventeen thousand, eight hundred seventy-five".