531552 has 72 divisors (see below), whose sum is σ = 1637496. Its totient is φ = 150528.

The previous prime is 531551. The next prime is 531569. The reversal of 531552 is 255135.

It is a Harshad number since it is a multiple of its sum of digits (21).

Its product of digits (750) is a multiple of the sum of its prime divisors (125).

It is a plaindrome in base 11.

It is a nialpdrome in base 14.

It is a zygodrome in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (531551) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4648 + ... + 4760.

It is an arithmetic number, because the mean of its divisors is an integer number (22743).

2⁵³¹⁵⁵² 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 531552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (818748).

531552 is an abundant number, since it is smaller than the sum of its proper divisors (1105944).

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

531552 is a wasteful number, since it uses less digits than its factorization.

531552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 125 counting only the distinct ones).

The product of its digits is 750, while the sum is 21.

The square root of 531552 is about 729.0761277123. The cubic root of 531552 is about 81.0056389917.

Adding to 531552 its reverse (255135), we get a palindrome (786687).

The spelling of 531552 in words is "five hundred thirty-one thousand, five hundred fifty-two".