531520 has 56 divisors (see below), whose sum is σ = 1389888. Its totient is φ = 192000.

The previous prime is 531497. The next prime is 531521. The reversal of 531520 is 25135.

It is a hoax number, since the sum of its digits (16) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 531494 and 531503.

It is not an unprimeable number, because it can be changed into a prime (531521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3445 + ... + 3595.

2⁵³¹⁵²⁰ 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 531520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (694944).

531520 is an abundant number, since it is smaller than the sum of its proper divisors (858368).

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

531520 is a wasteful number, since it uses less digits than its factorization.

531520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 16.

The square root of 531520 is about 729.0541818000. The cubic root of 531520 is about 81.0040134169.

Adding to 531520 its reverse (25135), we get a palindrome (556655).

It can be divided in two parts, 5315 and 20, that added together give a palindrome (5335).

The spelling of 531520 in words is "five hundred thirty-one thousand, five hundred twenty".