313001352 has 96 divisors (see below), whose sum is σ = 875773080. Its totient is φ = 100915200.

The previous prime is 313001333. The next prime is 313001357. The reversal of 313001352 is 253100313.

313001352 is a `hidden beast` number, since 313 + 0 + 0 + 1 + 352 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 253000836 + 60000516 = 15906^2 + 7746^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (313001357) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 780352 + ... + 780752.

Almost surely, 2^313001352 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 313001352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (437886540).

313001352 is an abundant number, since it is smaller than the sum of its proper divisors (562771728).

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

313001352 is a wasteful number, since it uses less digits than its factorization.

313001352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 743 (or 736 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 18.

The square root of 313001352 is about 17691.8442226920. The cubic root of 313001352 is about 678.9671112379.

Adding to 313001352 its reverse (253100313), we get a palindrome (566101665).

The spelling of 313001352 in words is "three hundred thirteen million, one thousand, three hundred fifty-two".