8253218232 has 192 divisors, whose sum is σ = 26163783360. Its totient is φ = 2301696000.

The previous prime is 8253218209. The next prime is 8253218263. The reversal of 8253218232 is 2328123528.

It is a happy number.

8253218232 is a `hidden beast` number, since 82 + 532 + 18 + 2 + 32 = 666.

It is a super-2 number, since 2×8253218232² (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 congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3714882 + ... + 3717102.

It is an arithmetic number, because the mean of its divisors is an integer number (136269705).

Almost surely, 2^8253218232 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 8253218232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13081891680).

8253218232 is an abundant number, since it is smaller than the sum of its proper divisors (17910565128).

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

8253218232 is a wasteful number, since it uses less digits than its factorization.

8253218232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2414 (or 2407 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 8253218232 is about 90847.2246796786. The cubic root of 8253218232 is about 2020.8827165172.

The spelling of 8253218232 in words is "eight billion, two hundred fifty-three million, two hundred eighteen thousand, two hundred thirty-two".