531288 has 48 divisors (see below), whose sum is σ = 1478880. Its totient is φ = 172224.

The previous prime is 531287. The next prime is 531299. The reversal of 531288 is 882135.

It is a happy number.

It is a nialpdrome in base 9 and base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (531281) 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, 3306 + ... + 3462.

It is an arithmetic number, because the mean of its divisors is an integer number (30810).

2⁵³¹²⁸⁸ 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 531288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (739440).

531288 is an abundant number, since it is smaller than the sum of its proper divisors (947592).

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

531288 is a wasteful number, since it uses less digits than its factorization.

531288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 209 counting only the distinct ones).

The product of its digits is 1920, while the sum is 27.

The square root of 531288 is about 728.8950541745. The cubic root of 531288 is about 80.9922260486.

The spelling of 531288 in words is "five hundred thirty-one thousand, two hundred eighty-eight".