508008021288 has 64 divisors (see below), whose sum is σ = 1297824629760. Its totient is φ = 165633080256.

The previous prime is 508008021281. The next prime is 508008021293. The reversal of 508008021288 is 882120800805.

508008021288 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×508008021288² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (508008021281) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1745295 + ... + 2015457.

It is an arithmetic number, because the mean of its divisors is an integer number (20278509840).

Almost surely, 2^508008021288 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 508008021288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (648912314880).

508008021288 is an abundant number, since it is smaller than the sum of its proper divisors (789816608472).

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

508008021288 is a wasteful number, since it uses less digits than its factorization.

508008021288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271886 (or 271882 counting only the distinct ones).

The product of its (nonzero) digits is 81920, while the sum is 42.

The spelling of 508008021288 in words is "five hundred eight billion, eight million, twenty-one thousand, two hundred eighty-eight".