531132000 has 192 divisors, whose sum is σ = 1988872704. Its totient is φ = 121382400.

The previous prime is 531131989. The next prime is 531132029. The reversal of 531132000 is 231135.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 80839 + ... + 87161.

It is an arithmetic number, because the mean of its divisors is an integer number (10358712).

Almost surely, 2^531132000 is an apocalyptic number.

531132000 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 531132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (994436352).

531132000 is an abundant number, since it is smaller than the sum of its proper divisors (1457740704).

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

531132000 is a wasteful number, since it uses less digits than its factorization.

531132000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6358 (or 6340 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 15.

The square root of 531132000 is about 23046.3012216711. The cubic root of 531132000 is about 809.8429812999.

Adding to 531132000 its reverse (231135), we get a palindrome (531363135).

The spelling of 531132000 in words is "five hundred thirty-one million, one hundred thirty-two thousand".