509010905088 has 480 divisors, whose sum is σ = 1755875721600. Its totient is φ = 143900540928.

The previous prime is 509010905083. The next prime is 509010905111. The reversal of 509010905088 is 880509010905.

509010905088 is a `hidden beast` number, since 50 + 9 + 0 + 1 + 0 + 90 + 508 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (509010905083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 112635693 + ... + 112640211.

It is an arithmetic number, because the mean of its divisors is an integer number (3658074420).

Almost surely, 2^509010905088 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 509010905088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (877937860800).

509010905088 is an abundant number, since it is smaller than the sum of its proper divisors (1246864816512).

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

509010905088 is an equidigital number, since it uses as much as digits as its factorization.

509010905088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4657 (or 4628 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 45.

The spelling of 509010905088 in words is "five hundred nine billion, ten million, nine hundred five thousand, eighty-eight".