533956500 has 576 divisors, whose sum is σ = 2224115712. Its totient is φ = 104544000.

The previous prime is 533956471. The next prime is 533956517. The reversal of 533956500 is 5659335.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 7969467 + ... + 7969533.

It is an arithmetic number, because the mean of its divisors is an integer number (3861312).

Almost surely, 2^533956500 is an apocalyptic number.

533956500 is a gapful number since it is divisible by the number (50) 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 533956500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1112057856).

533956500 is an abundant number, since it is smaller than the sum of its proper divisors (1690159212).

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

533956500 is a wasteful number, since it uses less digits than its factorization.

533956500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 60750, while the sum is 36.

The square root of 533956500 is about 23107.4987828627. The cubic root of 533956500 is about 811.2759952671.

It can be divided in two parts, 53395 and 6500, that added together give a palindrome (59895).

The spelling of 533956500 in words is "five hundred thirty-three million, nine hundred fifty-six thousand, five hundred".