313240520 has 64 divisors (see below), whose sum is σ = 730635120. Its totient is φ = 120766464.

The previous prime is 313240511. The next prime is 313240541. The reversal of 313240520 is 25042313.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 28238596 + 285001924 = 5314^2 + 16882^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 313240492 and 313240501.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 166304 + ... + 168176.

Almost surely, 2^313240520 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 313240520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365317560).

313240520 is an abundant number, since it is smaller than the sum of its proper divisors (417394600).

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

313240520 is a wasteful number, since it uses less digits than its factorization.

313240520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2034 (or 2030 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 313240520 is about 17698.6022046940. The cubic root of 313240520 is about 679.1400027839.

Adding to 313240520 its reverse (25042313), we get a palindrome (338282833).

The spelling of 313240520 in words is "three hundred thirteen million, two hundred forty thousand, five hundred twenty".