9005255320 has 64 divisors (see below), whose sum is σ = 21159947520. Its totient is φ = 3442690944.

The previous prime is 9005255279. The next prime is 9005255321. The reversal of 9005255320 is 235525009.

It is a super-3 number, since 3×9005255320³ (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9005255321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1397947 + ... + 1404373.

It is an arithmetic number, because the mean of its divisors is an integer number (330624180).

Almost surely, 2^9005255320 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9005255320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10579973760).

9005255320 is an abundant number, since it is smaller than the sum of its proper divisors (12154692200).

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

9005255320 is a wasteful number, since it uses less digits than its factorization.

9005255320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7984 (or 7980 counting only the distinct ones).

The product of its (nonzero) digits is 13500, while the sum is 31.

The square root of 9005255320 is about 94896.0237312397. The cubic root of 9005255320 is about 2080.4886148698.

The spelling of 9005255320 in words is "nine billion, five million, two hundred fifty-five thousand, three hundred twenty".