825891066 has 240 divisors, whose sum is σ = 2508963072. Its totient is φ = 197588160.

The previous prime is 825891047. The next prime is 825891083. The reversal of 825891066 is 660198528.

825891066 is a `hidden beast` number, since 8 + 2 + 589 + 1 + 0 + 66 = 666.

825891066 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1783551 + ... + 1784013.

Almost surely, 2^825891066 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 825891066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1254481536).

825891066 is an abundant number, since it is smaller than the sum of its proper divisors (1683072006).

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

825891066 is a wasteful number, since it uses less digits than its factorization.

825891066 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 519 (or 499 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The square root of 825891066 is about 28738.3205146021. The cubic root of 825891066 is about 938.2262711403.

The spelling of 825891066 in words is "eight hundred twenty-five million, eight hundred ninety-one thousand, sixty-six".