532213100 has 72 divisors (see below), whose sum is σ = 1213984800. Its totient is φ = 202132480.

The previous prime is 532213091. The next prime is 532213109. The reversal of 532213100 is 1312235.

It is an interprime number because it is at equal distance from previous prime (532213091) and next prime (532213109).

It is a super-3 number, since 3×532213100³ (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (532213109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 341924 + ... + 343476.

It is an arithmetic number, because the mean of its divisors is an integer number (16860900).

Almost surely, 2^532213100 is an apocalyptic number.

532213100 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 532213100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (606992400).

532213100 is an abundant number, since it is smaller than the sum of its proper divisors (681771700).

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

532213100 is a wasteful number, since it uses less digits than its factorization.

532213100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1739 (or 1732 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 17.

The square root of 532213100 is about 23069.7442551928. The cubic root of 532213100 is about 810.3920776245.

Adding to 532213100 its reverse (1312235), we get a palindrome (533525335).

The spelling of 532213100 in words is "five hundred thirty-two million, two hundred thirteen thousand, one hundred".