825527120 has 40 divisors (see below), whose sum is σ = 2093839200. Its totient is φ = 300191360.

The previous prime is 825527119. The next prime is 825527147. The reversal of 825527120 is 21725528.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 468170 + ... + 469929.

It is an arithmetic number, because the mean of its divisors is an integer number (52345980).

Almost surely, 2^825527120 is an apocalyptic number.

825527120 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

825527120 is an abundant number, since it is smaller than the sum of its proper divisors (1268312080).

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

825527120 is a wasteful number, since it uses less digits than its factorization.

825527120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 938123 (or 938117 counting only the distinct ones).

The product of its (nonzero) digits is 11200, while the sum is 32.

The square root of 825527120 is about 28731.9877488488. The cubic root of 825527120 is about 938.0884346134.

The spelling of 825527120 in words is "eight hundred twenty-five million, five hundred twenty-seven thousand, one hundred twenty".