825904512 has 224 divisors, whose sum is σ = 2528502480. Its totient is φ = 268489728.

The previous prime is 825904487. The next prime is 825904517. The reversal of 825904512 is 215409528.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (825904517) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 4945453 + ... + 4945619.

Almost surely, 2^825904512 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 825904512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1264251240).

825904512 is an abundant number, since it is smaller than the sum of its proper divisors (1702597968).

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

825904512 is an equidigital number, since it uses as much as digits as its factorization.

825904512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 825904512 is about 28738.5544521641. The cubic root of 825904512 is about 938.2313627407.

The spelling of 825904512 in words is "eight hundred twenty-five million, nine hundred four thousand, five hundred twelve".