501313 has 8 divisors (see below), whose sum is σ = 545832. Its totient is φ = 458496.

The previous prime is 501299. The next prime is 501317. The reversal of 501313 is 313105.

It can be written as a sum of positive squares in 4 ways, for example, as 238144 + 263169 = 488^2 + 513^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 501313 - 2¹³ = 493121 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 501293 and 501302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (501317) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 231 + ... + 1027.

It is an arithmetic number, because the mean of its divisors is an integer number (68229).

2⁵⁰¹³¹³ is an apocalyptic number.

It is an amenable number.

501313 is a deficient number, since it is larger than the sum of its proper divisors (44519).

501313 is a wasteful number, since it uses less digits than its factorization.

501313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 851.

The product of its (nonzero) digits is 45, while the sum is 13.

The square root of 501313 is about 708.0346036741. The cubic root of 501313 is about 79.4394671257.

Adding to 501313 its reverse (313105), we get a palindrome (814418).

The spelling of 501313 in words is "five hundred one thousand, three hundred thirteen".