825838452 has 54 divisors (see below), whose sum is σ = 2162081558. Its totient is φ = 265777344.

The previous prime is 825838411. The next prime is 825838469. The reversal of 825838452 is 254838528.

825838452 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 55442916 + 770395536 = 7446^2 + 27756^2 .

It is a junction number, because it is equal to n+sod(n) for n = 825838398 and 825838407.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 16638 + ... + 43914.

Almost surely, 2^825838452 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 825838452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1081040779).

825838452 is an abundant number, since it is smaller than the sum of its proper divisors (1336243106).

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

825838452 is a wasteful number, since it uses less digits than its factorization.

825838452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27345 (or 27311 counting only the distinct ones).

The product of its digits is 614400, while the sum is 45.

The square root of 825838452 is about 28737.4051020617. The cubic root of 825838452 is about 938.2063472515.

The spelling of 825838452 in words is "eight hundred twenty-five million, eight hundred thirty-eight thousand, four hundred fifty-two".