8252500320 has 240 divisors, whose sum is σ = 29324278368. Its totient is φ = 2185574400.

The previous prime is 8252500301. The next prime is 8252500327. The reversal of 8252500320 is 230052528.

8252500320 is a `hidden beast` number, since 82 + 52 + 500 + 32 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8252500327) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 1954852 + ... + 1959068.

Almost surely, 2^8252500320 is an apocalyptic number.

8252500320 is a gapful number since it is divisible by the number (80) 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 8252500320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14662139184).

8252500320 is an abundant number, since it is smaller than the sum of its proper divisors (21071778048).

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

8252500320 is a wasteful number, since it uses less digits than its factorization.

8252500320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4395 (or 4378 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 8252500320 is about 90843.2733888426. The cubic root of 8252500320 is about 2020.8241188494.

Adding to 8252500320 its reverse (230052528), we get a palindrome (8482552848).

The spelling of 8252500320 in words is "eight billion, two hundred fifty-two million, five hundred thousand, three hundred twenty".