509533819 has 2 divisors, whose sum is σ = 509533820. Its totient is φ = 509533818.

The previous prime is 509533813. The next prime is 509533823. The reversal of 509533819 is 918335905.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-509533819 is a prime.

It is a super-2 number, since 2×509533819² = 519249425409449522, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (509533813) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 254766909 + 254766910.

It is an arithmetic number, because the mean of its divisors is an integer number (254766910).

Almost surely, 2^509533819 is an apocalyptic number.

509533819 is a deficient number, since it is larger than the sum of its proper divisors (1).

509533819 is an equidigital number, since it uses as much as digits as its factorization.

509533819 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 145800, while the sum is 43.

The square root of 509533819 is about 22572.8558007178. The cubic root of 509533819 is about 798.7134628660.

The spelling of 509533819 in words is "five hundred nine million, five hundred thirty-three thousand, eight hundred nineteen".