8253003528 has 192 divisors, whose sum is σ = 27991267200. Its totient is φ = 2134103040.

The previous prime is 8253003527. The next prime is 8253003547.

8253003528 is a `hidden beast` number, since 82 + 53 + 0 + 0 + 3 + 528 = 666.

8253003528 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×8253003528² (a number of 21 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 8253003492 and 8253003501.

It is not an unprimeable number, because it can be changed into a prime (8253003527) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1288558 + ... + 1294946.

It is an arithmetic number, because the mean of its divisors is an integer number (145787850).

Almost surely, 2^8253003528 is an apocalyptic number.

8253003528 is a gapful number since it is divisible by the number (88) 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 8253003528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13995633600).

8253003528 is an abundant number, since it is smaller than the sum of its proper divisors (19738263672).

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

8253003528 is a wasteful number, since it uses less digits than its factorization.

8253003528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6652 (or 6645 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 8253003528 is about 90846.0429958289. The cubic root of 8253003528 is about 2020.8651922273.

It can be divided in two parts, 825300 and 3528, that added together give a palindrome (828828).

The spelling of 8253003528 in words is "eight billion, two hundred fifty-three million, three thousand, five hundred twenty-eight".