313099752 has 128 divisors (see below), whose sum is σ = 936345600. Its totient is φ = 85363200.

The previous prime is 313099601. The next prime is 313099753. The reversal of 313099752 is 257990313.

It is a super-4 number, since 4×313099752⁴ (a number of 35 digits) contains 4444 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 313099752.

It is not an unprimeable number, because it can be changed into a prime (313099753) 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 31 ways as a sum of consecutive naturals, for example, 411052 + ... + 411812.

It is an arithmetic number, because the mean of its divisors is an integer number (7315200).

Almost surely, 2^313099752 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 313099752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (468172800).

313099752 is an abundant number, since it is smaller than the sum of its proper divisors (623245848).

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

313099752 is a wasteful number, since it uses less digits than its factorization.

313099752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 887 (or 883 counting only the distinct ones).

The product of its (nonzero) digits is 51030, while the sum is 39.

The square root of 313099752 is about 17694.6249465763. The cubic root of 313099752 is about 679.0382540230.

The spelling of 313099752 in words is "three hundred thirteen million, ninety-nine thousand, seven hundred fifty-two".