313535052 has 36 divisors (see below), whose sum is σ = 795969720. Its totient is φ = 104060352.

The previous prime is 313535051. The next prime is 313535081. The reversal of 313535052 is 250535313.

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (313535051) 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 11 ways as a sum of consecutive naturals, for example, 10302 + ... + 27077.

It is an arithmetic number, because the mean of its divisors is an integer number (22110270).

Almost surely, 2^313535052 is an apocalyptic number.

It is an amenable number.

313535052 is an abundant number, since it is smaller than the sum of its proper divisors (482434668).

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

313535052 is a wasteful number, since it uses less digits than its factorization.

313535052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37622 (or 37617 counting only the distinct ones).

The product of its (nonzero) digits is 6750, while the sum is 27.

The square root of 313535052 is about 17706.9210197595. The cubic root of 313535052 is about 679.3527953925.

The spelling of 313535052 in words is "three hundred thirteen million, five hundred thirty-five thousand, fifty-two".