313112528 has 80 divisors (see below), whose sum is σ = 662904000. Its totient is φ = 142718976.

The previous prime is 313112521. The next prime is 313112551. The reversal of 313112528 is 825211313.

It is a junction number, because it is equal to n+sod(n) for n = 313112497 and 313112506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313112521) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1749143 + ... + 1749321.

It is an arithmetic number, because the mean of its divisors is an integer number (8286300).

Almost surely, 2^313112528 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 313112528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331452000).

313112528 is an abundant number, since it is smaller than the sum of its proper divisors (349791472).

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

313112528 is a wasteful number, since it uses less digits than its factorization.

313112528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372 (or 366 counting only the distinct ones).

The product of its digits is 1440, while the sum is 26.

The square root of 313112528 is about 17694.9859564793. The cubic root of 313112528 is about 679.0474899238.

The spelling of 313112528 in words is "three hundred thirteen million, one hundred twelve thousand, five hundred twenty-eight".