524287 has 2 divisors, whose sum is σ = 524288. Its totient is φ = 524286.

The previous prime is 524269. The next prime is 524309. The reversal of 524287 is 782425.

524287 is nontrivially palindromic in base 2.

It is a Cunningham number, because it is equal to 2¹⁹-1.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 524287 - 2¹¹ = 522239 is a prime.

It is a Chen prime.

524287 is a lucky number.

524287 is a nontrivial repdigit in base 2.

It is a plaindrome in base 2, base 4, base 8 and base 16.

It is a nialpdrome in base 2.

It is a zygodrome in base 2.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (524257) by changing a digit.

Being equal to 8×4⁸-1, it is a generalized Woodall number.

It is a nontrivial repunit in base 2.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 262143 + 262144.

It is an arithmetic number, because the mean of its divisors is an integer number (262144).

524287 is a Friedman number, since it can be written as 8^7/4-5+2+2, using all its digits and the basic arithmetic operations.

2⁵²⁴²⁸⁷ is an apocalyptic number.

524287 is a deficient number, since it is larger than the sum of its proper divisors (1).

524287 is an equidigital number, since it uses as much as digits as its factorization.

524287 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 4480, while the sum is 28.

The square root of 524287 is about 724.0766534007. The cubic root of 524287 is about 80.6348959269.

It can be divided in two parts, 5242 and 87, that added together give a square (5329 = 73²).

The spelling of 524287 in words is "five hundred twenty-four thousand, two hundred eighty-seven".