8253082656 has 384 divisors, whose sum is σ = 30437890560. Its totient is φ = 2117062656.

The previous prime is 8253082631. The next prime is 8253082697. The reversal of 8253082656 is 6562803528.

8253082656 is a `hidden beast` number, since 82 + 5 + 308 + 265 + 6 = 666.

It is a super-2 number, since 2×8253082656² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2907670 + ... + 2910506.

It is an arithmetic number, because the mean of its divisors is an integer number (79265340).

Almost surely, 2^8253082656 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 8253082656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15218945280).

8253082656 is an abundant number, since it is smaller than the sum of its proper divisors (22184807904).

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

8253082656 is a wasteful number, since it uses less digits than its factorization.

8253082656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2913 (or 2899 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The square root of 8253082656 is about 90846.4785008203. The cubic root of 8253082656 is about 2020.8716507451.

The spelling of 8253082656 in words is "eight billion, two hundred fifty-three million, eighty-two thousand, six hundred fifty-six".