113509 has 8 divisors (see below), whose sum is σ = 131328. Its totient is φ = 96960.

The previous prime is 113501. The next prime is 113513. The reversal of 113509 is 905311.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 113509 - 2³ = 113501 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113501) 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 in 7 ways as a sum of consecutive naturals, for example, 117 + ... + 490.

It is an arithmetic number, because the mean of its divisors is an integer number (16416).

2¹¹³⁵⁰⁹ is an apocalyptic number.

It is an amenable number.

113509 is a deficient number, since it is larger than the sum of its proper divisors (17819).

113509 is a wasteful number, since it uses less digits than its factorization.

113509 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 635.

The product of its (nonzero) digits is 135, while the sum is 19.

The square root of 113509 is about 336.9109674677. The cubic root of 113509 is about 48.4183626793.

The spelling of 113509 in words is "one hundred thirteen thousand, five hundred nine".