509361 has 8 divisors (see below), whose sum is σ = 701184. Its totient is φ = 328560.

The previous prime is 509359. The next prime is 509363. The reversal of 509361 is 163905.

It is an interprime number because it is at equal distance from previous prime (509359) and next prime (509363).

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

It is not a de Polignac number, because 509361 - 2¹ = 509359 is a prime.

It is an Ulam number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 509361.

It is not an unprimeable number, because it can be changed into a prime (509363) 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, 2646 + ... + 2831.

It is an arithmetic number, because the mean of its divisors is an integer number (87648).

2⁵⁰⁹³⁶¹ is an apocalyptic number.

It is an amenable number.

509361 is a deficient number, since it is larger than the sum of its proper divisors (191823).

509361 is a wasteful number, since it uses less digits than its factorization.

509361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5511.

The product of its (nonzero) digits is 810, while the sum is 24.

The square root of 509361 is about 713.6953131414. The cubic root of 509361 is about 79.8623152557.

The spelling of 509361 in words is "five hundred nine thousand, three hundred sixty-one".