509353 has 4 divisors (see below), whose sum is σ = 548548. Its totient is φ = 470160.

The previous prime is 509329. The next prime is 509359. The reversal of 509353 is 353905.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 267289 + 242064 = 517^2 + 492^2 .

It is a cyclic number.

It is not a de Polignac number, because 509353 - 2⁹ = 508841 is a prime.

It is a congruent number.

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, 19578 + ... + 19603.

It is an arithmetic number, because the mean of its divisors is an integer number (137137).

2⁵⁰⁹³⁵³ is an apocalyptic number.

It is an amenable number.

509353 is a deficient number, since it is larger than the sum of its proper divisors (39195).

509353 is a wasteful number, since it uses less digits than its factorization.

509353 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39194.

The product of its (nonzero) digits is 2025, while the sum is 25.

The square root of 509353 is about 713.6897084868. The cubic root of 509353 is about 79.8618971489.

The spelling of 509353 in words is "five hundred nine thousand, three hundred fifty-three".