825082052256 has 864 divisors, whose sum is σ = 3236857303680. Its totient is φ = 201673359360.

The previous prime is 825082052251. The next prime is 825082052281. The reversal of 825082052256 is 652250280528.

825082052256 is a `hidden beast` number, since 8 + 2 + 50 + 8 + 20 + 522 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is not an unprimeable number, because it can be changed into a prime (825082052251) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 111962940 + ... + 111970308.

It is an arithmetic number, because the mean of its divisors is an integer number (3746362620).

Almost surely, 2^825082052256 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 825082052256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1618428651840).

825082052256 is an abundant number, since it is smaller than the sum of its proper divisors (2411775251424).

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

825082052256 is a wasteful number, since it uses less digits than its factorization.

825082052256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7440 (or 7409 counting only the distinct ones).

The product of its (nonzero) digits is 768000, while the sum is 45.

The spelling of 825082052256 in words is "eight hundred twenty-five billion, eighty-two million, fifty-two thousand, two hundred fifty-six".