825035000 has 80 divisors (see below), whose sum is σ = 1947220440. Its totient is φ = 327600000.

The previous prime is 825034997. The next prime is 825035027. The reversal of 825035000 is 530528.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 784475 + ... + 785525.

Almost surely, 2^825035000 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 825035000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (973610220).

825035000 is an abundant number, since it is smaller than the sum of its proper divisors (1122185440).

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

825035000 is a wasteful number, since it uses less digits than its factorization.

825035000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1234 (or 1215 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 23.

The square root of 825035000 is about 28723.4224980242. The cubic root of 825035000 is about 937.9019905688.

Adding to 825035000 its reverse (530528), we get a palindrome (825565528).

The spelling of 825035000 in words is "eight hundred twenty-five million, thirty-five thousand".