509379 has 16 divisors (see below), whose sum is σ = 753312. Its totient is φ = 304128.

The previous prime is 509363. The next prime is 509389. The reversal of 509379 is 973905.

It is not a de Polignac number, because 509379 - 2⁴ = 509363 is a prime.

It is not an unprimeable number, because it can be changed into a prime (509329) 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, 1267 + ... + 1619.

It is an arithmetic number, because the mean of its divisors is an integer number (47082).

2⁵⁰⁹³⁷⁹ is an apocalyptic number.

509379 is a deficient number, since it is larger than the sum of its proper divisors (243933).

509379 is a wasteful number, since it uses less digits than its factorization.

509379 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406.

The product of its (nonzero) digits is 8505, while the sum is 33.

The square root of 509379 is about 713.7079234533. The cubic root of 509379 is about 79.8632559799.

It can be divided in two parts, 509 and 379, that added together give a palindrome (888).

The spelling of 509379 in words is "five hundred nine thousand, three hundred seventy-nine".