153509 has 2 divisors, whose sum is σ = 153510. Its totient is φ = 153508.

The previous prime is 153499. The next prime is 153511. The reversal of 153509 is 905351.

153509 is nontrivially palindromic in base 13.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 124609 + 28900 = 353^2 + 170^2 .

It is a cyclic number.

It is not a de Polignac number, because 153509 - 2¹⁶ = 87973 is a prime.

It is a Sophie Germain prime.

Together with 153511, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (153529) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 76754 + 76755.

It is an arithmetic number, because the mean of its divisors is an integer number (76755).

2¹⁵³⁵⁰⁹ is an apocalyptic number.

It is an amenable number.

153509 is a deficient number, since it is larger than the sum of its proper divisors (1).

153509 is an equidigital number, since it uses as much as digits as its factorization.

153509 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 675, while the sum is 23.

The square root of 153509 is about 391.8022460375. The cubic root of 153509 is about 53.5440578064.

It can be divided in two parts, 153 and 509, that multiplied together give a palindrome (77877).

The spelling of 153509 in words is "one hundred fifty-three thousand, five hundred nine".