509601 has 8 divisors (see below), whose sum is σ = 697984. Its totient is φ = 330480.

The previous prime is 509591. The next prime is 509603. The reversal of 509601 is 106905.

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

It is not a de Polignac number, because 509601 - 2⁵ = 509569 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (509603) 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, 2185 + ... + 2406.

It is an arithmetic number, because the mean of its divisors is an integer number (87248).

2⁵⁰⁹⁶⁰¹ is an apocalyptic number.

It is an amenable number.

509601 is a deficient number, since it is larger than the sum of its proper divisors (188383).

509601 is a wasteful number, since it uses less digits than its factorization.

509601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4631.

The product of its (nonzero) digits is 270, while the sum is 21.

The square root of 509601 is about 713.8634323174. The cubic root of 509601 is about 79.8748564240.

The spelling of 509601 in words is "five hundred nine thousand, six hundred one".