53009 has 8 divisors (see below), whose sum is σ = 59520. Its totient is φ = 46800.

The previous prime is 53003. The next prime is 53017. The reversal of 53009 is 90035.

53009 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-53009 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 53009.

It is not an unprimeable number, because it can be changed into a prime (53003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 632 + ... + 710.

It is an arithmetic number, because the mean of its divisors is an integer number (7440).

2⁵³⁰⁰⁹ is an apocalyptic number.

It is an amenable number.

53009 is a deficient number, since it is larger than the sum of its proper divisors (6511).

53009 is a wasteful number, since it uses less digits than its factorization.

53009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151.

The product of its (nonzero) digits is 135, while the sum is 17.

The square root of 53009 is about 230.2368345856. The cubic root of 53009 is about 37.5649836214.

Multiplying 53009 by its sum of digits (17), we get a triangular number (901153 = T₁₃₄₂).

The spelling of 53009 in words is "fifty-three thousand, nine".