509623 has 2 divisors, whose sum is σ = 509624. Its totient is φ = 509622.

The previous prime is 509603. The next prime is 509633. The reversal of 509623 is 326905.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 509623 - 2⁵ = 509591 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (509603) 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 as a sum of consecutive naturals, namely, 254811 + 254812.

It is an arithmetic number, because the mean of its divisors is an integer number (254812).

2⁵⁰⁹⁶²³ is an apocalyptic number.

509623 is a deficient number, since it is larger than the sum of its proper divisors (1).

509623 is an equidigital number, since it uses as much as digits as its factorization.

509623 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1620, while the sum is 25.

The square root of 509623 is about 713.8788412609. The cubic root of 509623 is about 79.8760058340.

The spelling of 509623 in words is "five hundred nine thousand, six hundred twenty-three".