8025133220 has 96 divisors (see below), whose sum is σ = 19250729568. Its totient is φ = 2783895552.

The previous prime is 8025133219. The next prime is 8025133253. The reversal of 8025133220 is 223315208.

It can be written as a sum of positive squares in 16 ways, for example, as 290634304 + 7734498916 = 17048^2 + 87946^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 8025133220.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3238622 + ... + 3241098.

It is an arithmetic number, because the mean of its divisors is an integer number (200528433).

Almost surely, 2^8025133220 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 8025133220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9625364784).

8025133220 is an abundant number, since it is smaller than the sum of its proper divisors (11225596348).

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

8025133220 is a wasteful number, since it uses less digits than its factorization.

8025133220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3249 (or 3247 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 8025133220 is about 89583.1078942900. The cubic root of 8025133220 is about 2002.0922454912.

Adding to 8025133220 its reverse (223315208), we get a palindrome (8248448428).

The spelling of 8025133220 in words is "eight billion, twenty-five million, one hundred thirty-three thousand, two hundred twenty".