825301332 has 24 divisors (see below), whose sum is σ = 2139670400. Its totient is φ = 275100408.

The previous prime is 825301331. The next prime is 825301333. The reversal of 825301332 is 233103528.

825301332 is a `hidden beast` number, since 8 + 25 + 301 + 332 = 666.

It is an interprime number because it is at equal distance from previous prime (825301331) and next prime (825301333).

It is a super-2 number, since 2×825301332² = 1362244577201948448, 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 = 825301296 and 825301305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (825301331) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3820732 + ... + 3820947.

Almost surely, 2^825301332 is an apocalyptic number.

It is an amenable number.

825301332 is an abundant number, since it is smaller than the sum of its proper divisors (1314369068).

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

825301332 is a wasteful number, since it uses less digits than its factorization.

825301332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7641692 (or 7641684 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 825301332 is about 28728.0582706176. The cubic root of 825301332 is about 938.0029020206.

The spelling of 825301332 in words is "eight hundred twenty-five million, three hundred one thousand, three hundred thirty-two".