825238016 has 40 divisors (see below), whose sum is σ = 1654792524. Its totient is φ = 411136000.

The previous prime is 825237991. The next prime is 825238027. The reversal of 825238016 is 610832528.

It can be written as a sum of positive squares in 2 ways, for example, as 561500416 + 263737600 = 23696^2 + 16240^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 147266 + ... + 152766.

Almost surely, 2^825238016 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 825238016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (827396262).

825238016 is an abundant number, since it is smaller than the sum of its proper divisors (829554508).

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

825238016 is an equidigital number, since it uses as much as digits as its factorization.

825238016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5812 (or 5796 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 35.

The square root of 825238016 is about 28726.9562606274. The cubic root of 825238016 is about 937.9789139699.

The spelling of 825238016 in words is "eight hundred twenty-five million, two hundred thirty-eight thousand, sixteen".