825054336 has 320 divisors, whose sum is σ = 2701416960. Its totient is φ = 248832000.

The previous prime is 825054317. The next prime is 825054337. The reversal of 825054336 is 633450528.

It is a happy number.

825054336 is a `hidden beast` number, since 82 + 5 + 0 + 543 + 36 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 825054336.

It is not an unprimeable number, because it can be changed into a prime (825054337) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5463861 + ... + 5464011.

It is an arithmetic number, because the mean of its divisors is an integer number (8441928).

Almost surely, 2^825054336 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 825054336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1350708480).

825054336 is an abundant number, since it is smaller than the sum of its proper divisors (1876362624).

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

825054336 is a wasteful number, since it uses less digits than its factorization.

825054336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 825054336 is about 28723.7590854679. The cubic root of 825054336 is about 937.9093175837.

The spelling of 825054336 in words is "eight hundred twenty-five million, fifty-four thousand, three hundred thirty-six".