501205313 has 16 divisors (see below), whose sum is σ = 608824320. Its totient is φ = 403031376.

The previous prime is 501205307. The next prime is 501205337. The reversal of 501205313 is 313502105.

It is a cyclic number.

It is not a de Polignac number, because 501205313 - 2⁴ = 501205297 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (501205513) by changing a digit.

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, 4595 + ... + 31992.

It is an arithmetic number, because the mean of its divisors is an integer number (38051520).

Almost surely, 2^501205313 is an apocalyptic number.

It is an amenable number.

501205313 is a deficient number, since it is larger than the sum of its proper divisors (107619007).

501205313 is a wasteful number, since it uses less digits than its factorization.

501205313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36716.

The product of its (nonzero) digits is 450, while the sum is 20.

The square root of 501205313 is about 22387.6151699997. The cubic root of 501205313 is about 794.3377859010.

Adding to 501205313 its reverse (313502105), we get a palindrome (814707418).

The spelling of 501205313 in words is "five hundred one million, two hundred five thousand, three hundred thirteen".