9005506873 has 16 divisors (see below), whose sum is σ = 9880206336. Its totient is φ = 8140266640.

The previous prime is 9005506859. The next prime is 9005506891. The reversal of 9005506873 is 3786055009.

It is not a de Polignac number, because 9005506873 - 2¹⁷ = 9005375801 is a prime.

It is not an unprimeable number, because it can be changed into a prime (9005506843) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1695540 + ... + 1700842.

It is an arithmetic number, because the mean of its divisors is an integer number (617512896).

Almost surely, 2^9005506873 is an apocalyptic number.

It is an amenable number.

9005506873 is a deficient number, since it is larger than the sum of its proper divisors (874699463).

9005506873 is a wasteful number, since it uses less digits than its factorization.

9005506873 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6164.

The product of its (nonzero) digits is 226800, while the sum is 43.

The square root of 9005506873 is about 94897.3491357899. The cubic root of 9005506873 is about 2080.5079868276.

The spelling of 9005506873 in words is "nine billion, five million, five hundred six thousand, eight hundred seventy-three".