509393 has 2 divisors, whose sum is σ = 509394. Its totient is φ = 509392.

The previous prime is 509389. The next prime is 509413. The reversal of 509393 is 393905.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 508369 + 1024 = 713^2 + 32^2 .

It is a cyclic number.

It is not a de Polignac number, because 509393 - 2² = 509389 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (509363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 254696 + 254697.

It is an arithmetic number, because the mean of its divisors is an integer number (254697).

2⁵⁰⁹³⁹³ is an apocalyptic number.

It is an amenable number.

509393 is a deficient number, since it is larger than the sum of its proper divisors (1).

509393 is an equidigital number, since it uses as much as digits as its factorization.

509393 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3645, while the sum is 29.

The square root of 509393 is about 713.7177313196. The cubic root of 509393 is about 79.8639876390.

The spelling of 509393 in words is "five hundred nine thousand, three hundred ninety-three".