523509 has 16 divisors (see below), whose sum is σ = 809088. Its totient is φ = 294912.

The previous prime is 523493. The next prime is 523511. The reversal of 523509 is 905325.

It is not a de Polignac number, because 523509 - 2⁴ = 523493 is a prime.

523509 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (523519) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1909 + ... + 2165.

It is an arithmetic number, because the mean of its divisors is an integer number (50568).

2⁵²³⁵⁰⁹ is an apocalyptic number.

It is an amenable number.

523509 is a deficient number, since it is larger than the sum of its proper divisors (285579).

523509 is a wasteful number, since it uses less digits than its factorization.

523509 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364.

The product of its (nonzero) digits is 1350, while the sum is 24.

The square root of 523509 is about 723.5392180110. The cubic root of 523509 is about 80.5949909351.

The spelling of 523509 in words is "five hundred twenty-three thousand, five hundred nine".