509319422304 has 1152 divisors, whose sum is σ = 1836277825536. Its totient is φ = 120708403200.

The previous prime is 509319422303. The next prime is 509319422317. The reversal of 509319422304 is 403224913905.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (509319422303) 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 in 191 ways as a sum of consecutive naturals, for example, 4010389089 + ... + 4010389215.

It is an arithmetic number, because the mean of its divisors is an integer number (1593991168).

Almost surely, 2^509319422304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 509319422304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (918138912768).

509319422304 is an abundant number, since it is smaller than the sum of its proper divisors (1326958403232).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

509319422304 is a wasteful number, since it uses less digits than its factorization.

509319422304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 42.

The spelling of 509319422304 in words is "five hundred nine billion, three hundred nineteen million, four hundred twenty-two thousand, three hundred four".