531221200 has 60 divisors (see below), whose sum is σ = 1281262860. Its totient is φ = 211655680.

The previous prime is 531221167. The next prime is 531221221. The reversal of 531221200 is 2122135.

It can be written as a sum of positive squares in 6 ways, for example, as 95413824 + 435807376 = 9768^2 + 20876^2 .

It is a super-3 number, since 3×531221200³ (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 105132 + ... + 110068.

It is an arithmetic number, because the mean of its divisors is an integer number (21354381).

Almost surely, 2^531221200 is an apocalyptic number.

531221200 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 531221200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (640631430).

531221200 is an abundant number, since it is smaller than the sum of its proper divisors (750041660).

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

531221200 is a wasteful number, since it uses less digits than its factorization.

531221200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5224 (or 5213 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 531221200 is about 23048.2363750461. The cubic root of 531221200 is about 809.8883146322. Note that the first 3 decimals are identical.

Adding to 531221200 its reverse (2122135), we get a palindrome (533343335).

The spelling of 531221200 in words is "five hundred thirty-one million, two hundred twenty-one thousand, two hundred".