509641 has 8 divisors (see below), whose sum is σ = 562464. Its totient is φ = 457920.

The previous prime is 509633. The next prime is 509647. The reversal of 509641 is 146905.

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 509641 - 2³ = 509633 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (509647) 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, 961 + ... + 1393.

It is an arithmetic number, because the mean of its divisors is an integer number (70308).

2⁵⁰⁹⁶⁴¹ is an apocalyptic number.

It is an amenable number.

509641 is a deficient number, since it is larger than the sum of its proper divisors (52823).

509641 is a wasteful number, since it uses less digits than its factorization.

509641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 551.

The product of its (nonzero) digits is 1080, while the sum is 25.

The square root of 509641 is about 713.8914483309. The cubic root of 509641 is about 79.8769462359.

The spelling of 509641 in words is "five hundred nine thousand, six hundred forty-one".