509441344799 has 2 divisors, whose sum is σ = 509441344800. Its totient is φ = 509441344798.

The previous prime is 509441344771. The next prime is 509441344823. The reversal of 509441344799 is 997443144905.

It is a happy number.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 509441344799 - 2²⁰ = 509440296223 is a prime.

It is a super-2 number, since 2×509441344799² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (509441344729) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 254720672399 + 254720672400.

It is an arithmetic number, because the mean of its divisors is an integer number (254720672400).

Almost surely, 2^509441344799 is an apocalyptic number.

509441344799 is a deficient number, since it is larger than the sum of its proper divisors (1).

509441344799 is an equidigital number, since it uses as much as digits as its factorization.

509441344799 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 19595520, while the sum is 59.

The spelling of 509441344799 in words is "five hundred nine billion, four hundred forty-one million, three hundred forty-four thousand, seven hundred ninety-nine".