825338300 has 18 divisors (see below), whose sum is σ = 1790984328. Its totient is φ = 330135280.

The previous prime is 825338291. The next prime is 825338303. The reversal of 825338300 is 3833528.

825338300 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 (825338303) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4126592 + ... + 4126791.

Almost surely, 2^825338300 is an apocalyptic number.

It is an amenable number.

825338300 is an abundant number, since it is smaller than the sum of its proper divisors (965646028).

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

825338300 is a wasteful number, since it uses less digits than its factorization.

825338300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8253397 (or 8253390 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 32.

The square root of 825338300 is about 28728.7016761983. The cubic root of 825338300 is about 938.0169072379.

The spelling of 825338300 in words is "eight hundred twenty-five million, three hundred thirty-eight thousand, three hundred".