825201432 has 80 divisors (see below), whose sum is σ = 2521470600. Its totient is φ = 250058880.

The previous prime is 825201427. The next prime is 825201457. The reversal of 825201432 is 234102528.

825201432 is a `hidden beast` number, since 8 + 25 + 201 + 432 = 666.

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 = 825201396 and 825201405.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 50757 + ... + 65012.

Almost surely, 2^825201432 is an apocalyptic number.

It is an amenable number.

825201432 is an abundant number, since it is smaller than the sum of its proper divisors (1696269168).

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

825201432 is a wasteful number, since it uses less digits than its factorization.

825201432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115798 (or 115785 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 825201432 is about 28726.3194997201. The cubic root of 825201432 is about 937.9650531092.

The spelling of 825201432 in words is "eight hundred twenty-five million, two hundred one thousand, four hundred thirty-two".