509477533320 has 256 divisors, whose sum is σ = 1792756800000. Its totient is φ = 115777256448.

The previous prime is 509477533319. The next prime is 509477533321. The reversal of 509477533320 is 23335774905.

It is an interprime number because it is at equal distance from previous prime (509477533319) and next prime (509477533321).

It is a self number, because there is not a number n which added to its sum of digits gives 509477533320.

It is not an unprimeable number, because it can be changed into a prime (509477533321) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7084906 + ... + 7156454.

It is an arithmetic number, because the mean of its divisors is an integer number (7002956250).

Almost surely, 2^509477533320 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 509477533320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (896378400000).

509477533320 is an abundant number, since it is smaller than the sum of its proper divisors (1283279266680).

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

509477533320 is a wasteful number, since it uses less digits than its factorization.

509477533320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71757 (or 71739 counting only the distinct ones).

The product of its (nonzero) digits is 2381400, while the sum is 48.

The spelling of 509477533320 in words is "five hundred nine billion, four hundred seventy-seven million, five hundred thirty-three thousand, three hundred twenty".