825012300 has 576 divisors, whose sum is σ = 3199795200. Its totient is φ = 159667200.

The previous prime is 825012283. The next prime is 825012301. The reversal of 825012300 is 3210528.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (825012301) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 26613285 + ... + 26613315.

It is an arithmetic number, because the mean of its divisors is an integer number (5555200).

Almost surely, 2^825012300 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 825012300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1599897600).

825012300 is an abundant number, since it is smaller than the sum of its proper divisors (2374782900).

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

825012300 is a wasteful number, since it uses less digits than its factorization.

825012300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 825012300 is about 28723.0273474089. The cubic root of 825012300 is about 937.8933886831.

Adding to 825012300 its reverse (3210528), we get a palindrome (828222828).

The spelling of 825012300 in words is "eight hundred twenty-five million, twelve thousand, three hundred".