825408252 has 24 divisors (see below), whose sum is σ = 2139947600. Its totient is φ = 275136048.

The previous prime is 825408193. The next prime is 825408257. The reversal of 825408252 is 252804528.

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 (825408257) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3821227 + ... + 3821442.

Almost surely, 2^825408252 is an apocalyptic number.

It is an amenable number.

825408252 is an abundant number, since it is smaller than the sum of its proper divisors (1314539348).

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

825408252 is a wasteful number, since it uses less digits than its factorization.

825408252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7642682 (or 7642674 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 36.

The square root of 825408252 is about 28729.9191088315. The cubic root of 825408252 is about 938.0434072017.

The spelling of 825408252 in words is "eight hundred twenty-five million, four hundred eight thousand, two hundred fifty-two".