432561825 has 36 divisors (see below), whose sum is σ = 801494460. Its totient is φ = 222741120.

The previous prime is 432561781. The next prime is 432561827. The reversal of 432561825 is 528165234.

432561825 is a `hidden beast` number, since 4 + 32 + 5 + 618 + 2 + 5 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 37307664 + 395254161 = 6108^2 + 19881^2 .

It is not a de Polignac number, because 432561825 - 2¹² = 432557729 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 432561825.

It is not an unprimeable number, because it can be changed into a prime (432561827) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 26622 + ... + 39671.

It is an arithmetic number, because the mean of its divisors is an integer number (22263735).

Almost surely, 2^432561825 is an apocalyptic number.

432561825 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

432561825 is a deficient number, since it is larger than the sum of its proper divisors (368932635).

432561825 is a wasteful number, since it uses less digits than its factorization.

432561825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66338 (or 66330 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The square root of 432561825 is about 20798.1207083717. The cubic root of 432561825 is about 756.2801986894.

The spelling of 432561825 in words is "four hundred thirty-two million, five hundred sixty-one thousand, eight hundred twenty-five".