313652052 has 144 divisors (see below), whose sum is σ = 946632960. Its totient is φ = 85671936.

The previous prime is 313652051. The next prime is 313652063. The reversal of 313652052 is 250256313.

313652052 is a `hidden beast` number, since 3 + 1 + 3 + 652 + 0 + 5 + 2 = 666.

313652052 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313652051) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1220308 + ... + 1220564.

It is an arithmetic number, because the mean of its divisors is an integer number (6573840).

Almost surely, 2^313652052 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 313652052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (473316480).

313652052 is an abundant number, since it is smaller than the sum of its proper divisors (632980908).

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

313652052 is a wasteful number, since it uses less digits than its factorization.

313652052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 470 (or 465 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 313652052 is about 17710.2245045059. The cubic root of 313652052 is about 679.4372882233.

The spelling of 313652052 in words is "three hundred thirteen million, six hundred fifty-two thousand, fifty-two".