313111456 has 48 divisors (see below), whose sum is σ = 707434560. Its totient is φ = 133632000.

The previous prime is 313111453. The next prime is 313111459. The reversal of 313111456 is 654111313.

It is an interprime number because it is at equal distance from previous prime (313111453) and next prime (313111459).

It is a self number, because there is not a number n which added to its sum of digits gives 313111456.

It is not an unprimeable number, because it can be changed into a prime (313111453) 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 7 ways as a sum of consecutive naturals, for example, 53440 + ... + 59008.

It is an arithmetic number, because the mean of its divisors is an integer number (14738220).

Almost surely, 2^313111456 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 313111456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353717280).

313111456 is an abundant number, since it is smaller than the sum of its proper divisors (394323104).

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

313111456 is a wasteful number, since it uses less digits than its factorization.

313111456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5837 (or 5829 counting only the distinct ones).

The product of its digits is 1080, while the sum is 25.

The square root of 313111456 is about 17694.9556653867. The cubic root of 313111456 is about 679.0467149737.

Adding to 313111456 its reverse (654111313), we get a palindrome (967222769).

The spelling of 313111456 in words is "three hundred thirteen million, one hundred eleven thousand, four hundred fifty-six".