317020819752 has 288 divisors, whose sum is σ = 1076433419880. Its totient is φ = 83545620480.

The previous prime is 317020819711. The next prime is 317020819763. The reversal of 317020819752 is 257918020713.

317020819752 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 316413000036 + 607819716 = 562506^2 + 24654^2 .

It is a junction number, because it is equal to n+sod(n) for n = 317020819698 and 317020819707.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 104247352 + ... + 104250392.

Almost surely, 2^317020819752 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 317020819752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (538216709940).

317020819752 is an abundant number, since it is smaller than the sum of its proper divisors (759412600128).

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

317020819752 is a wasteful number, since it uses less digits than its factorization.

317020819752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5353 (or 5339 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 45.

The spelling of 317020819752 in words is "three hundred seventeen billion, twenty million, eight hundred nineteen thousand, seven hundred fifty-two".