509638 has 16 divisors (see below), whose sum is σ = 804384. Its totient is φ = 241920.

The previous prime is 509633. The next prime is 509647. The reversal of 509638 is 836905.

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (509633) by changing a digit.

509638 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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, 5206 + ... + 5302.

It is an arithmetic number, because the mean of its divisors is an integer number (50274).

2⁵⁰⁹⁶³⁸ is an apocalyptic number.

509638 is a deficient number, since it is larger than the sum of its proper divisors (294746).

509638 is a wasteful number, since it uses less digits than its factorization.

509638 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207.

The product of its (nonzero) digits is 6480, while the sum is 31.

The square root of 509638 is about 713.8893471680. The cubic root of 509638 is about 79.8767895038.

It can be divided in two parts, 50963 and 8, that multiplied together give a palindrome (407704).

The spelling of 509638 in words is "five hundred nine thousand, six hundred thirty-eight".