313053104 has 80 divisors (see below), whose sum is σ = 750785280. Its totient is φ = 123137280.

The previous prime is 313053089. The next prime is 313053109. The reversal of 313053104 is 401350313.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (313053109) 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, 306707 + ... + 307725.

It is an arithmetic number, because the mean of its divisors is an integer number (9384816).

Almost surely, 2^313053104 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 313053104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375392640).

313053104 is an abundant number, since it is smaller than the sum of its proper divisors (437732176).

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

313053104 is a wasteful number, since it uses less digits than its factorization.

313053104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1258 (or 1252 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 20.

The square root of 313053104 is about 17693.3067570762. The cubic root of 313053104 is about 679.0045295742.

The spelling of 313053104 in words is "three hundred thirteen million, fifty-three thousand, one hundred four".