59509 has 2 divisors, whose sum is σ = 59510. Its totient is φ = 59508.

The previous prime is 59497. The next prime is 59513. The reversal of 59509 is 90595.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 36100 + 23409 = 190^2 + 153^2 .

It is a cyclic number.

It is not a de Polignac number, because 59509 - 2⁹ = 58997 is a prime.

It is a nialpdrome in base 16.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (59539) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 29754 + 29755.

It is an arithmetic number, because the mean of its divisors is an integer number (29755).

2⁵⁹⁵⁰⁹ is an apocalyptic number.

It is an amenable number.

59509 is a deficient number, since it is larger than the sum of its proper divisors (1).

59509 is an equidigital number, since it uses as much as digits as its factorization.

59509 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2025, while the sum is 28.

The square root of 59509 is about 243.9446658568. The cubic root of 59509 is about 39.0415948942.

The spelling of 59509 in words is "fifty-nine thousand, five hundred nine".