509901 has 8 divisors (see below), whose sum is σ = 777024. Its totient is φ = 291360.

The previous prime is 509879. The next prime is 509909. The reversal of 509901 is 109905.

It is a happy number.

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

It is not a de Polignac number, because 509901 - 2⁶ = 509837 is a prime.

509901 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (509909) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12120 + ... + 12161.

It is an arithmetic number, because the mean of its divisors is an integer number (97128).

2⁵⁰⁹⁹⁰¹ is an apocalyptic number.

It is an amenable number.

509901 is a deficient number, since it is larger than the sum of its proper divisors (267123).

509901 is a wasteful number, since it uses less digits than its factorization.

509901 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24291.

The product of its (nonzero) digits is 405, while the sum is 24.

The square root of 509901 is about 714.0735256260. The cubic root of 509901 is about 79.8905273484.

The spelling of 509901 in words is "five hundred nine thousand, nine hundred one".