9075825000 has 576 divisors, whose sum is σ = 35463355200. Its totient is φ = 2073600000.

The previous prime is 9075824977. The next prime is 9075825013. The reversal of 9075825000 is 5285709.

9075825000 is a `hidden beast` number, since 9 + 0 + 75 + 82 + 500 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 47024904 + ... + 47025096.

It is an arithmetic number, because the mean of its divisors is an integer number (61568325).

Almost surely, 2^9075825000 is an apocalyptic number.

9075825000 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9075825000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17731677600).

9075825000 is an abundant number, since it is smaller than the sum of its proper divisors (26387530200).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

9075825000 is a wasteful number, since it uses less digits than its factorization.

9075825000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The square root of 9075825000 is about 95267.1244448997. The cubic root of 9075825000 is about 2085.9090630723.

The spelling of 9075825000 in words is "nine billion, seventy-five million, eight hundred twenty-five thousand".