509542 has 32 divisors (see below), whose sum is σ = 933120. Its totient is φ = 205920.

The previous prime is 509521. The next prime is 509543. The reversal of 509542 is 245905.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (509543) 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 15 ways as a sum of consecutive naturals, for example, 9588 + ... + 9640.

It is an arithmetic number, because the mean of its divisors is an integer number (29160).

2⁵⁰⁹⁵⁴² is an apocalyptic number.

509542 is the 583-rd pentagonal number.

509542 is a deficient number, since it is larger than the sum of its proper divisors (423578).

509542 is a wasteful number, since it uses less digits than its factorization.

509542 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108.

The product of its (nonzero) digits is 1800, while the sum is 25.

The square root of 509542 is about 713.8221066905. The cubic root of 509542 is about 79.8717737518.

The spelling of 509542 in words is "five hundred nine thousand, five hundred forty-two".