825502000 has 80 divisors (see below), whose sum is σ = 2007442944. Its totient is φ = 328320000.

The previous prime is 825501953. The next prime is 825502021. The reversal of 825502000 is 205528.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 380920 + ... + 383080.

Almost surely, 2^825502000 is an apocalyptic number.

825502000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 825502000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1003721472).

825502000 is an abundant number, since it is smaller than the sum of its proper divisors (1181940944).

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

825502000 is a wasteful number, since it uses less digits than its factorization.

825502000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2375 (or 2359 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 22.

The square root of 825502000 is about 28731.5506020820. The cubic root of 825502000 is about 938.0789194725.

Adding to 825502000 its reverse (205528), we get a palindrome (825707528).

The spelling of 825502000 in words is "eight hundred twenty-five million, five hundred two thousand".