313116580 has 96 divisors (see below), whose sum is σ = 806319360. Its totient is φ = 99740160.

The previous prime is 313116571. The next prime is 313116581. The reversal of 313116580 is 85611313.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (313116581) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 139870 + ... + 142090.

It is an arithmetic number, because the mean of its divisors is an integer number (8399160).

Almost surely, 2^313116580 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 313116580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403159680).

313116580 is an abundant number, since it is smaller than the sum of its proper divisors (493202780).

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

313116580 is a wasteful number, since it uses less digits than its factorization.

313116580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2309 (or 2307 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 28.

The square root of 313116580 is about 17695.1004518200. The cubic root of 313116580 is about 679.0504191035.

Adding to 313116580 its reverse (85611313), we get a palindrome (398727893).

The spelling of 313116580 in words is "three hundred thirteen million, one hundred sixteen thousand, five hundred eighty".