509263 has 2 divisors, whose sum is σ = 509264. Its totient is φ = 509262.

The previous prime is 509239. The next prime is 509281. The reversal of 509263 is 362905.

509263 is nontrivially palindromic in base 14.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-509263 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (509203) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 254631 + 254632.

It is an arithmetic number, because the mean of its divisors is an integer number (254632).

2⁵⁰⁹²⁶³ is an apocalyptic number.

509263 is a deficient number, since it is larger than the sum of its proper divisors (1).

509263 is an equidigital number, since it uses as much as digits as its factorization.

509263 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1620, while the sum is 25.

The square root of 509263 is about 713.6266530897. The cubic root of 509263 is about 79.8571931459.

The spelling of 509263 in words is "five hundred nine thousand, two hundred sixty-three".