501306 has 16 divisors (see below), whose sum is σ = 1079904. Its totient is φ = 154224.

The previous prime is 501299. The next prime is 501317. The reversal of 501306 is 603105.

501306 is nontrivially palindromic in base 5.

It is an unprimeable number.

501306 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 7 ways as a sum of consecutive naturals, for example, 3136 + ... + 3291.

It is an arithmetic number, because the mean of its divisors is an integer number (67494).

2⁵⁰¹³⁰⁶ is an apocalyptic number.

501306 is an abundant number, since it is smaller than the sum of its proper divisors (578598).

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

501306 is a wasteful number, since it uses less digits than its factorization.

501306 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6445.

The product of its (nonzero) digits is 90, while the sum is 15.

The square root of 501306 is about 708.0296603957. The cubic root of 501306 is about 79.4390973774.

The spelling of 501306 in words is "five hundred one thousand, three hundred six".