531013 has 6 divisors (see below), whose sum is σ = 617766. Its totient is φ = 455112.

The previous prime is 530989. The next prime is 531017. The reversal of 531013 is 310135.

It can be written as a sum of positive squares in only one way, i.e., 388129 + 142884 = 623^2 + 378^2 .

It is not a de Polignac number, because 531013 - 2⁹ = 530501 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 530984 and 531002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (531017) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 5370 + ... + 5467.

It is an arithmetic number, because the mean of its divisors is an integer number (102961).

2⁵³¹⁰¹³ is an apocalyptic number.

It is an amenable number.

531013 is a deficient number, since it is larger than the sum of its proper divisors (86753).

531013 is a wasteful number, since it uses less digits than its factorization.

531013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10851 (or 10844 counting only the distinct ones).

The product of its (nonzero) digits is 45, while the sum is 13.

The square root of 531013 is about 728.7063880604. The cubic root of 531013 is about 80.9782495072.

Adding to 531013 its reverse (310135), we get a palindrome (841148).

The spelling of 531013 in words is "five hundred thirty-one thousand, thirteen".