509373 has 6 divisors (see below), whose sum is σ = 735774. Its totient is φ = 339576.

The previous prime is 509363. The next prime is 509389. The reversal of 509373 is 373905.

It can be written as a sum of positive squares in only one way, i.e., 381924 + 127449 = 618^2 + 357^2 .

It is not a de Polignac number, because 509373 - 2¹⁰ = 508349 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (509363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 28290 + ... + 28307.

It is an arithmetic number, because the mean of its divisors is an integer number (122629).

2⁵⁰⁹³⁷³ is an apocalyptic number.

It is an amenable number.

509373 is a deficient number, since it is larger than the sum of its proper divisors (226401).

509373 is a wasteful number, since it uses less digits than its factorization.

509373 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56603 (or 56600 counting only the distinct ones).

The product of its (nonzero) digits is 2835, while the sum is 27.

The square root of 509373 is about 713.7037200407. The cubic root of 509373 is about 79.8629424076.

The spelling of 509373 in words is "five hundred nine thousand, three hundred seventy-three".