531152 has 20 divisors (see below), whose sum is σ = 1043460. Its totient is φ = 261888.

The previous prime is 531143. The next prime is 531163. The reversal of 531152 is 251135.

It can be written as a sum of positive squares in 2 ways, for example, as 190096 + 341056 = 436^2 + 584^2 .

It is a plaindrome in base 13.

It is a self number, because there is not a number n which added to its sum of digits gives 531152.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 531152.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1238 + ... + 1610.

It is an arithmetic number, because the mean of its divisors is an integer number (52173).

2⁵³¹¹⁵² is an apocalyptic number.

It is an amenable number.

531152 is a deficient number, since it is larger than the sum of its proper divisors (512308).

531152 is a wasteful number, since it uses less digits than its factorization.

531152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 470 (or 464 counting only the distinct ones).

The product of its digits is 150, while the sum is 17.

The square root of 531152 is about 728.8017563096. The cubic root of 531152 is about 80.9853146166.

Subtracting from 531152 its sum of digits (17), we obtain a palindrome (531135).

Adding to 531152 its reverse (251135), we get a palindrome (782287).

The spelling of 531152 in words is "five hundred thirty-one thousand, one hundred fifty-two".