313213252 has 48 divisors (see below), whose sum is σ = 641390400. Its totient is φ = 132312960.

The previous prime is 313213237. The next prime is 313213259. The reversal of 313213252 is 252312313.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (313213259) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40774 + ... + 47842.

It is an arithmetic number, because the mean of its divisors is an integer number (13362300).

Almost surely, 2^313213252 is an apocalyptic number.

It is an amenable number.

313213252 is an abundant number, since it is smaller than the sum of its proper divisors (328177148).

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

313213252 is a wasteful number, since it uses less digits than its factorization.

313213252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7156 (or 7154 counting only the distinct ones).

The product of its digits is 1080, while the sum is 22.

The square root of 313213252 is about 17697.8318446074. The cubic root of 313213252 is about 679.1202955347.

Adding to 313213252 its reverse (252312313), we get a palindrome (565525565).

It can be divided in two parts, 3132 and 13252, that added together give a 14-th power (16384 = 2¹⁴).

The spelling of 313213252 in words is "three hundred thirteen million, two hundred thirteen thousand, two hundred fifty-two".