509963 has 2 divisors, whose sum is σ = 509964. Its totient is φ = 509962.

The previous prime is 509959. The next prime is 509989. The reversal of 509963 is 369905.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 509963 - 2² = 509959 is a prime.

It is a super-2 number, since 2×509963² = 520124522738, which contains 22 as substring.

It is a Sophie Germain prime.

It is not a weakly prime, because it can be changed into another prime (509063) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 254981 + 254982.

It is an arithmetic number, because the mean of its divisors is an integer number (254982).

2⁵⁰⁹⁹⁶³ is an apocalyptic number.

509963 is a deficient number, since it is larger than the sum of its proper divisors (1).

509963 is an equidigital number, since it uses as much as digits as its factorization.

509963 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7290, while the sum is 32.

The square root of 509963 is about 714.1169372029. The cubic root of 509963 is about 79.8937652396.

The spelling of 509963 in words is "five hundred nine thousand, nine hundred sixty-three".