531008 has 14 divisors (see below), whose sum is σ = 1053846. Its totient is φ = 265472.

The previous prime is 530989. The next prime is 531017. The reversal of 531008 is 800135.

It can be written as a sum of positive squares in only one way, i.e., 529984 + 1024 = 728^2 + 32^2 .

It is a super-4 number, since 4×531008⁴ (a number of 24 digits) contains 4444 as substring.

It is an Ulam number.

It is a nialpdrome in base 14.

It is an unprimeable number.

531008 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 as a sum of consecutive naturals, namely, 4085 + ... + 4212.

2⁵³¹⁰⁰⁸ is an apocalyptic number.

It is an amenable number.

531008 is a deficient number, since it is larger than the sum of its proper divisors (522838).

531008 is an equidigital number, since it uses as much as digits as its factorization.

531008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8309 (or 8299 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 17.

The square root of 531008 is about 728.7029573153. The cubic root of 531008 is about 80.9779953436.

It can be divided in two parts, 5 and 31008, that added together give a palindrome (31013).

The spelling of 531008 in words is "five hundred thirty-one thousand, eight".