825437520 has 160 divisors (see below), whose sum is σ = 2992963200. Its totient is φ = 208521216.

The previous prime is 825437519. The next prime is 825437537. The reversal of 825437520 is 25734528.

825437520 is a `hidden beast` number, since 82 + 54 + 3 + 7 + 520 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 31 ways as a sum of consecutive naturals, for example, 30984 + ... + 51096.

It is an arithmetic number, because the mean of its divisors is an integer number (18706020).

Almost surely, 2^825437520 is an apocalyptic number.

825437520 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 825437520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1496481600).

825437520 is an abundant number, since it is smaller than the sum of its proper divisors (2167525680).

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

825437520 is a wasteful number, since it uses less digits than its factorization.

825437520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20154 (or 20142 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 825437520 is about 28730.4284687855. The cubic root of 825437520 is about 938.0544943737.

The spelling of 825437520 in words is "eight hundred twenty-five million, four hundred thirty-seven thousand, five hundred twenty".