825725304 has 96 divisors (see below), whose sum is σ = 2278523520. Its totient is φ = 270102528.

The previous prime is 825725291. The next prime is 825725317. The reversal of 825725304 is 403527528.

825725304 is a `hidden beast` number, since 82 + 572 + 5 + 3 + 0 + 4 = 666.

825725304 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (825725291) and next prime (825725317).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 956377 + ... + 957239.

It is an arithmetic number, because the mean of its divisors is an integer number (23734620).

Almost surely, 2^825725304 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 825725304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1139261760).

825725304 is an abundant number, since it is smaller than the sum of its proper divisors (1452798216).

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

825725304 is a wasteful number, since it uses less digits than its factorization.

825725304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1109 (or 1102 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 825725304 is about 28735.4363808869. The cubic root of 825725304 is about 938.1634974584.

The spelling of 825725304 in words is "eight hundred twenty-five million, seven hundred twenty-five thousand, three hundred four".