9000567873 has 48 divisors (see below), whose sum is σ = 15263344512. Its totient is φ = 5049792000.

The previous prime is 9000567871. The next prime is 9000567883. The reversal of 9000567873 is 3787650009.

It is a happy number.

9000567873 is a `hidden beast` number, since 9 + 0 + 0 + 0 + 567 + 87 + 3 = 666.

It is not a de Polignac number, because 9000567873 - 2¹ = 9000567871 is a prime.

It is not an unprimeable number, because it can be changed into a prime (9000567871) 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 47 ways as a sum of consecutive naturals, for example, 58828 + ... + 146498.

It is an arithmetic number, because the mean of its divisors is an integer number (317986344).

Almost surely, 2^9000567873 is an apocalyptic number.

It is an amenable number.

9000567873 is a deficient number, since it is larger than the sum of its proper divisors (6262776639).

9000567873 is a wasteful number, since it uses less digits than its factorization.

9000567873 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87766 (or 87763 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The square root of 9000567873 is about 94871.3227113441. The cubic root of 9000567873 is about 2080.1275711481.

The spelling of 9000567873 in words is "nine billion, five hundred sixty-seven thousand, eight hundred seventy-three".