313752560 has 80 divisors (see below), whose sum is σ = 809412480. Its totient is φ = 112139520.

The previous prime is 313752559. The next prime is 313752577. The reversal of 313752560 is 65257313.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48899 + ... + 54941.

It is an arithmetic number, because the mean of its divisors is an integer number (10117656).

Almost surely, 2^313752560 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 313752560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404706240).

313752560 is an abundant number, since it is smaller than the sum of its proper divisors (495659920).

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

313752560 is a wasteful number, since it uses less digits than its factorization.

313752560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6126 (or 6120 counting only the distinct ones).

The product of its (nonzero) digits is 18900, while the sum is 32.

The square root of 313752560 is about 17713.0618471229. The cubic root of 313752560 is about 679.5098543992.

The spelling of 313752560 in words is "three hundred thirteen million, seven hundred fifty-two thousand, five hundred sixty".