508317082020 has 432 divisors, whose sum is σ = 1734265980720. Its totient is φ = 120380282880.

The previous prime is 508317081971. The next prime is 508317082057. The reversal of 508317082020 is 20280713805.

508317082020 is a `hidden beast` number, since 508 + 3 + 1 + 70 + 82 + 0 + 2 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 127586124864 + 380730957156 = 357192^2 + 617034^2 .

It is a super-4 number, since 4×508317082020⁴ (a number of 48 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 310516642 + ... + 310518278.

It is an arithmetic number, because the mean of its divisors is an integer number (4014504585).

Almost surely, 2^508317082020 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 508317082020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (867132990360).

508317082020 is an abundant number, since it is smaller than the sum of its proper divisors (1225948898700).

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

508317082020 is a wasteful number, since it uses less digits than its factorization.

508317082020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1996 (or 1980 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

Adding to 508317082020 its reverse (20280713805), we get a palindrome (528597795825).

The spelling of 508317082020 in words is "five hundred eight billion, three hundred seventeen million, eighty-two thousand, twenty".