825601812 has 96 divisors (see below), whose sum is σ = 2326302720. Its totient is φ = 222875520.

The previous prime is 825601811. The next prime is 825601853. The reversal of 825601812 is 218106528.

825601812 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (825601811) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 110887 + ... + 118097.

It is an arithmetic number, because the mean of its divisors is an integer number (24232320).

Almost surely, 2^825601812 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 825601812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1163151360).

825601812 is an abundant number, since it is smaller than the sum of its proper divisors (1500700908).

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

825601812 is a wasteful number, since it uses less digits than its factorization.

825601812 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7301 (or 7299 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 33.

The square root of 825601812 is about 28733.2875250988. The cubic root of 825601812 is about 938.1167258657.

The spelling of 825601812 in words is "eight hundred twenty-five million, six hundred one thousand, eight hundred twelve".