533809152 has 72 divisors (see below), whose sum is σ = 1541792070. Its totient is φ = 177930240.

The previous prime is 533809151. The next prime is 533809183. The reversal of 533809152 is 251908335.

It can be written as a sum of positive squares in only one way, i.e., 329204736 + 204604416 = 18144^2 + 14304^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (533809151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3952 + ... + 32912.

Almost surely, 2^533809152 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 533809152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (770896035).

533809152 is an abundant number, since it is smaller than the sum of its proper divisors (1007982918).

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

533809152 is a wasteful number, since it uses less digits than its factorization.

533809152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28989 (or 28966 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 533809152 is about 23104.3102472244. The cubic root of 533809152 is about 811.2013631619.

The spelling of 533809152 in words is "five hundred thirty-three million, eight hundred nine thousand, one hundred fifty-two".