313315072 has 72 divisors (see below), whose sum is σ = 739519200. Its totient is φ = 129626112.

The previous prime is 313315061. The next prime is 313315081. The reversal of 313315072 is 270513313.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 48954 + ... + 54982.

It is an arithmetic number, because the mean of its divisors is an integer number (10271100).

Almost surely, 2^313315072 is an apocalyptic number.

313315072 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 313315072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369759600).

313315072 is an abundant number, since it is smaller than the sum of its proper divisors (426204128).

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

313315072 is an equidigital number, since it uses as much as digits as its factorization.

313315072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6081 (or 6067 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 25.

The square root of 313315072 is about 17700.7082344182. The cubic root of 313315072 is about 679.1938774968.

Adding to 313315072 its reverse (270513313), we get a palindrome (583828385).

The spelling of 313315072 in words is "three hundred thirteen million, three hundred fifteen thousand, seventy-two".