509389 has 2 divisors, whose sum is σ = 509390. Its totient is φ = 509388.

The previous prime is 509363. The next prime is 509393. The reversal of 509389 is 983905.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 311364 + 198025 = 558^2 + 445^2 .

It is a cyclic number.

It is not a de Polignac number, because 509389 - 2¹³ = 501197 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (509329) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 254694 + 254695.

It is an arithmetic number, because the mean of its divisors is an integer number (254695).

2⁵⁰⁹³⁸⁹ is an apocalyptic number.

It is an amenable number.

509389 is a deficient number, since it is larger than the sum of its proper divisors (1).

509389 is an equidigital number, since it uses as much as digits as its factorization.

509389 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 9720, while the sum is 34.

The square root of 509389 is about 713.7149290858. The cubic root of 509389 is about 79.8637785949.

It can be divided in two parts, 509 and 389, that added together give a palindrome (898).

The spelling of 509389 in words is "five hundred nine thousand, three hundred eighty-nine".