509453 has 12 divisors (see below), whose sum is σ = 610812. Its totient is φ = 423360.

The previous prime is 509449. The next prime is 509477. The reversal of 509453 is 354905.

It can be written as a sum of positive squares in 2 ways, for example, as 405769 + 103684 = 637^2 + 322^2 .

It is not a de Polignac number, because 509453 - 2² = 509449 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (509413) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1673 + ... + 1953.

It is an arithmetic number, because the mean of its divisors is an integer number (50901).

2⁵⁰⁹⁴⁵³ is an apocalyptic number.

It is an amenable number.

509453 is a deficient number, since it is larger than the sum of its proper divisors (101359).

509453 is a wasteful number, since it uses less digits than its factorization.

509453 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332 (or 325 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 26.

The square root of 509453 is about 713.7597635059. The cubic root of 509453 is about 79.8671231690.

The spelling of 509453 in words is "five hundred nine thousand, four hundred fifty-three".