533081120 has 192 divisors, whose sum is σ = 1545433344. Its totient is φ = 170987520.

The previous prime is 533081117. The next prime is 533081123. The reversal of 533081120 is 21180335.

It is an interprime number because it is at equal distance from previous prime (533081117) and next prime (533081123).

It is a hoax number, since the sum of its digits (23) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is not an unprimeable number, because it can be changed into a prime (533081123) 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, 525734 + ... + 526746.

It is an arithmetic number, because the mean of its divisors is an integer number (8049132).

Almost surely, 2^533081120 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 533081120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (772716672).

533081120 is an abundant number, since it is smaller than the sum of its proper divisors (1012352224).

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

533081120 is a wasteful number, since it uses less digits than its factorization.

533081120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1075 (or 1067 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 23.

The square root of 533081120 is about 23088.5495430094. The cubic root of 533081120 is about 810.8324115503.

The spelling of 533081120 in words is "five hundred thirty-three million, eighty-one thousand, one hundred twenty".