533133216 has 288 divisors, whose sum is σ = 1957737600. Its totient is φ = 133539840.

The previous prime is 533133203. The next prime is 533133241. The reversal of 533133216 is 612331335.

It is a happy number.

533133216 is a `hidden beast` number, since 5 + 331 + 3 + 321 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a self number, because there is not a number n which added to its sum of digits gives 533133216.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 642690 + ... + 643518.

It is an arithmetic number, because the mean of its divisors is an integer number (6797700).

Almost surely, 2^533133216 is an apocalyptic number.

533133216 is a gapful number since it is divisible by the number (56) 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 533133216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (978868800).

533133216 is an abundant number, since it is smaller than the sum of its proper divisors (1424604384).

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

533133216 is a wasteful number, since it uses less digits than its factorization.

533133216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 892 (or 881 counting only the distinct ones).

The product of its digits is 4860, while the sum is 27.

The square root of 533133216 is about 23089.6776937228. The cubic root of 533133216 is about 810.8588238840.

The spelling of 533133216 in words is "five hundred thirty-three million, one hundred thirty-three thousand, two hundred sixteen".