825312132 has 48 divisors (see below), whose sum is σ = 2208729600. Its totient is φ = 266228640.

The previous prime is 825312053. The next prime is 825312143. The reversal of 825312132 is 231213528.

825312132 is a `hidden beast` number, since 82 + 531 + 21 + 32 = 666.

It is a super-2 number, since 2×825312132² = 1362280230452770848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 825312096 and 825312105.

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, 119907 + ... + 126602.

It is an arithmetic number, because the mean of its divisors is an integer number (46015200).

Almost surely, 2^825312132 is an apocalyptic number.

It is an amenable number.

825312132 is an abundant number, since it is smaller than the sum of its proper divisors (1383417468).

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

825312132 is a wasteful number, since it uses less digits than its factorization.

825312132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246553 (or 246545 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 825312132 is about 28728.2462395462. The cubic root of 825312132 is about 938.0069936119.

The spelling of 825312132 in words is "eight hundred twenty-five million, three hundred twelve thousand, one hundred thirty-two".