529132032 has 360 divisors, whose sum is σ = 1832442612. Its totient is φ = 145981440.

The previous prime is 529132027. The next prime is 529132033. The reversal of 529132032 is 230231925.

529132032 is a `hidden beast` number, since 529 + 132 + 0 + 3 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 515471616 + 13660416 = 22704^2 + 3696^2 .

It is a junction number, because it is equal to n+sod(n) for n = 529131987 and 529132005.

It is not an unprimeable number, because it can be changed into a prime (529132033) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 7248348 + ... + 7248420.

Almost surely, 2^529132032 is an apocalyptic number.

529132032 is a gapful number since it is divisible by the number (52) 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 529132032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (916221306).

529132032 is an abundant number, since it is smaller than the sum of its proper divisors (1303310580).

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

529132032 is a wasteful number, since it uses less digits than its factorization.

529132032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 529132032 is about 23002.8700817963. The cubic root of 529132032 is about 808.8252197110.

Adding to 529132032 its reverse (230231925), we get a palindrome (759363957).

It can be divided in two parts, 52913 and 2032, that added together give a palindrome (54945).

The spelling of 529132032 in words is "five hundred twenty-nine million, one hundred thirty-two thousand, thirty-two".