509356 has 12 divisors (see below), whose sum is σ = 922320. Its totient is φ = 245840.

The previous prime is 509329. The next prime is 509359. The reversal of 509356 is 653905.

It is a happy number.

It is a zygodrome in base 5.

It is not an unprimeable number, because it can be changed into a prime (509359) 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 3 ways as a sum of consecutive naturals, for example, 2080 + ... + 2311.

It is an arithmetic number, because the mean of its divisors is an integer number (76860).

2⁵⁰⁹³⁵⁶ is an apocalyptic number.

It is an amenable number.

509356 is a deficient number, since it is larger than the sum of its proper divisors (412964).

509356 is a wasteful number, since it uses less digits than its factorization.

509356 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4424 (or 4422 counting only the distinct ones).

The product of its (nonzero) digits is 4050, while the sum is 28.

The square root of 509356 is about 713.6918102374. The cubic root of 509356 is about 79.8620539394.

The spelling of 509356 in words is "five hundred nine thousand, three hundred fifty-six".