10529 has 2 divisors, whose sum is σ = 10530. Its totient is φ = 10528.

The previous prime is 10513. The next prime is 10531. The reversal of 10529 is 92501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10000 + 529 = 100^2 + 23^2 .

It is a cyclic number.

It is not a de Polignac number, because 10529 - 2⁴ = 10513 is a prime.

It is a super-2 number, since 2×10529² = 221719682, which contains 22 as substring.

It is a Sophie Germain prime.

Together with 10531, it forms a pair of twin primes.

It is a Chen prime.

It is an alternating number because its digits alternate between odd and even.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (10559) 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 as a sum of consecutive naturals, namely, 5264 + 5265.

It is an arithmetic number, because the mean of its divisors is an integer number (5265).

2¹⁰⁵²⁹ is an apocalyptic number.

It is an amenable number.

10529 is a deficient number, since it is larger than the sum of its proper divisors (1).

10529 is an equidigital number, since it uses as much as digits as its factorization.

10529 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 90, while the sum is 17.

The square root of 10529 is about 102.6109155987. The cubic root of 10529 is about 21.9177368594.

The spelling of 10529 in words is "ten thousand, five hundred twenty-nine".