313519248 has 150 divisors (see below), whose sum is σ = 1055778966. Its totient is φ = 89558784.

The previous prime is 313519243. The next prime is 313519273. The reversal of 313519248 is 842915313.

313519248 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 260112384 + 53406864 = 16128^2 + 7308^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (313519243) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 61036 + ... + 65972.

Almost surely, 2^313519248 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 313519248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (527889483).

313519248 is an abundant number, since it is smaller than the sum of its proper divisors (742259718).

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

313519248 is a wasteful number, since it uses less digits than its factorization.

313519248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4971 (or 4949 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 313519248 is about 17706.4747479559. The cubic root of 313519248 is about 679.3413807496.

The spelling of 313519248 in words is "three hundred thirteen million, five hundred nineteen thousand, two hundred forty-eight".