10531 has 2 divisors, whose sum is σ = 10532. Its totient is φ = 10530.

The previous prime is 10529. The next prime is 10559. The reversal of 10531 is 13501.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 10531 - 2¹ = 10529 is a prime.

It is a super-2 number, since 2×10531² = 221803922, which contains 22 as substring.

Together with 10529, it forms a pair of twin primes.

It is a Chen prime.

10531 is a lucky number.

It is not a weakly prime, because it can be changed into another prime (10501) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5265 + 5266.

It is an arithmetic number, because the mean of its divisors is an integer number (5266).

2¹⁰⁵³¹ is an apocalyptic number.

10531 is a deficient number, since it is larger than the sum of its proper divisors (1).

10531 is an equidigital number, since it uses as much as digits as its factorization.

10531 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 15, while the sum is 10.

The square root of 10531 is about 102.6206606878. The cubic root of 10531 is about 21.9191245410.

It can be divided in two parts, 105 and 31, that added together give a triangular number (136 = T₁₆).

The spelling of 10531 in words is "ten thousand, five hundred thirty-one".