509591 has 2 divisors, whose sum is σ = 509592. Its totient is φ = 509590.

The previous prime is 509581. The next prime is 509603. The reversal of 509591 is 195905.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 509591 - 2¹⁰ = 508567 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (509521) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 254795 + 254796.

It is an arithmetic number, because the mean of its divisors is an integer number (254796).

2⁵⁰⁹⁵⁹¹ is an apocalyptic number.

509591 is a deficient number, since it is larger than the sum of its proper divisors (1).

509591 is an equidigital number, since it uses as much as digits as its factorization.

509591 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2025, while the sum is 29.

The square root of 509591 is about 713.8564281422. The cubic root of 509591 is about 79.8743339539.

The spelling of 509591 in words is "five hundred nine thousand, five hundred ninety-one".