825285100 has 36 divisors (see below), whose sum is σ = 1848645568. Its totient is φ = 319464000.

The previous prime is 825285067. The next prime is 825285119. The reversal of 825285100 is 1582528.

825285100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 130011 + ... + 136210.

Almost surely, 2^825285100 is an apocalyptic number.

It is an amenable number.

825285100 is an abundant number, since it is smaller than the sum of its proper divisors (1023360468).

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

825285100 is a wasteful number, since it uses less digits than its factorization.

825285100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266266 (or 266259 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 31.

The square root of 825285100 is about 28727.7757579664. The cubic root of 825285100 is about 937.9967524434.

The spelling of 825285100 in words is "eight hundred twenty-five million, two hundred eighty-five thousand, one hundred".