63133032 has 64 divisors (see below), whose sum is σ = 163134720. Its totient is φ = 20348928.

The previous prime is 63133027. The next prime is 63133033. The reversal of 63133032 is 23033136.

63133032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (63133033) 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 15 ways as a sum of consecutive naturals, for example, 109128 + ... + 109704.

It is an arithmetic number, because the mean of its divisors is an integer number (2548980).

Almost surely, 2^63133032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 63133032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81567360).

63133032 is an abundant number, since it is smaller than the sum of its proper divisors (100001688).

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

63133032 is a wasteful number, since it uses less digits than its factorization.

63133032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 730 (or 726 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 21.

The square root of 63133032 is about 7945.6297421916. The cubic root of 63133032 is about 398.1855989830.

Adding to 63133032 its reverse (23033136), we get a palindrome (86166168).

The spelling of 63133032 in words is "sixty-three million, one hundred thirty-three thousand, thirty-two".