313768022500 has 135 divisors (see below), whose sum is σ = 729991491229. Its totient is φ = 117945184000.

The previous prime is 313768022489. The next prime is 313768022501. The reversal of 313768022500 is 5220867313.

The square root of 313768022500 is 560150.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 153229970916 + 160538051584 = 391446^2 + 400672^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 313768022500.

It is not an unprimeable number, because it can be changed into a prime (313768022501) 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 44 ways as a sum of consecutive naturals, for example, 476127171 + ... + 476127829.

Almost surely, 2^313768022500 is an apocalyptic number.

313768022500 is the 560150-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 313768022500

313768022500 is an abundant number, since it is smaller than the sum of its proper divisors (416223468729).

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

313768022500 is an frugal number, since it uses more digits than its factorization.

313768022500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1376 (or 683 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 37.

Adding to 313768022500 its reverse (5220867313), we get a palindrome (318988889813).

The spelling of 313768022500 in words is "three hundred thirteen billion, seven hundred sixty-eight million, twenty-two thousand, five hundred".