268529 has 2 divisors, whose sum is σ = 268530. Its totient is φ = 268528.

The previous prime is 268519. The next prime is 268531. The reversal of 268529 is 925862.

268529 is nontrivially palindromic in base 7.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 207025 + 61504 = 455^2 + 248^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-268529 is a prime.

Together with 268531, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 268495 and 268504.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (268519) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 134264 + 134265.

It is an arithmetic number, because the mean of its divisors is an integer number (134265).

2²⁶⁸⁵²⁹ is an apocalyptic number.

It is an amenable number.

268529 is a deficient number, since it is larger than the sum of its proper divisors (1).

268529 is an equidigital number, since it uses as much as digits as its factorization.

268529 is an evil number, because the sum of its binary digits is even.

The product of its digits is 8640, while the sum is 32.

The square root of 268529 is about 518.1978386678. The cubic root of 268529 is about 64.5154500977.

It can be divided in two parts, 268 and 529, that added together give a palindrome (797).

The spelling of 268529 in words is "two hundred sixty-eight thousand, five hundred twenty-nine".