8505653256 has 96 divisors (see below), whose sum is σ = 23218790400. Its totient is φ = 2812826880.

The previous prime is 8505653249. The next prime is 8505653257. The reversal of 8505653256 is 6523565058.

8505653256 is a `hidden beast` number, since 8 + 5 + 0 + 565 + 32 + 56 = 666.

It is a super-2 number, since 2×8505653256² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (8505653257) 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 23 ways as a sum of consecutive naturals, for example, 7824345 + ... + 7825431.

It is an arithmetic number, because the mean of its divisors is an integer number (241862400).

Almost surely, 2^8505653256 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 8505653256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11609395200).

8505653256 is an abundant number, since it is smaller than the sum of its proper divisors (14713137144).

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

8505653256 is a wasteful number, since it uses less digits than its factorization.

8505653256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1859 (or 1852 counting only the distinct ones).

The product of its (nonzero) digits is 1080000, while the sum is 45.

The square root of 8505653256 is about 92226.0985621749. The cubic root of 8505653256 is about 2041.2798946356.

The spelling of 8505653256 in words is "eight billion, five hundred five million, six hundred fifty-three thousand, two hundred fifty-six".