8252873244 has 720 divisors, whose sum is σ = 30172443840. Its totient is φ = 1916006400.

The previous prime is 8252873219. The next prime is 8252873311. The reversal of 8252873244 is 4423782528.

8252873244 is a `hidden beast` number, since 82 + 528 + 7 + 3 + 2 + 44 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 8252873244.

It is a congruent number.

It is an unprimeable number.

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 239 ways as a sum of consecutive naturals, for example, 135292974 + ... + 135293034.

It is an arithmetic number, because the mean of its divisors is an integer number (41906172).

Almost surely, 2^8252873244 is an apocalyptic number.

8252873244 is a gapful number since it is divisible by the number (84) 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 8252873244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15086221920).

8252873244 is an abundant number, since it is smaller than the sum of its proper divisors (21919570596).

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

8252873244 is a wasteful number, since it uses less digits than its factorization.

8252873244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 130 counting only the distinct ones).

The product of its digits is 860160, while the sum is 45.

The square root of 8252873244 is about 90845.3259336990. The cubic root of 8252873244 is about 2020.8545582085.

The spelling of 8252873244 in words is "eight billion, two hundred fifty-two million, eight hundred seventy-three thousand, two hundred forty-four".