533251264 has 224 divisors, whose sum is σ = 1411020800. Its totient is φ = 194088960.

The previous prime is 533251253. The next prime is 533251267. The reversal of 533251264 is 462152335.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is not an unprimeable number, because it can be changed into a prime (533251267) 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 31 ways as a sum of consecutive naturals, for example, 6749977 + ... + 6750055.

It is an arithmetic number, because the mean of its divisors is an integer number (6299200).

Almost surely, 2^533251264 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 533251264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (705510400).

533251264 is an abundant number, since it is smaller than the sum of its proper divisors (877769536).

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

533251264 is a wasteful number, since it uses less digits than its factorization.

533251264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 181 counting only the distinct ones).

The product of its digits is 21600, while the sum is 31.

The square root of 533251264 is about 23092.2338460358. The cubic root of 533251264 is about 810.9186670874.

The spelling of 533251264 in words is "five hundred thirty-three million, two hundred fifty-one thousand, two hundred sixty-four".