501305 has 8 divisors (see below), whose sum is σ = 687552. Its totient is φ = 343728.

The previous prime is 501299. The next prime is 501317. The reversal of 501305 is 503105.

501305 = T₂₅₁ + T₂₅₂ + ... + T₂₆₅.

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

It is not a de Polignac number, because 501305 - 2¹⁶ = 435769 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 501305.

It is an unprimeable 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, 7127 + ... + 7196.

It is an arithmetic number, because the mean of its divisors is an integer number (85944).

2⁵⁰¹³⁰⁵ is an apocalyptic number.

It is an amenable number.

501305 is a deficient number, since it is larger than the sum of its proper divisors (186247).

501305 is a wasteful number, since it uses less digits than its factorization.

501305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14335.

The product of its (nonzero) digits is 75, while the sum is 14.

The square root of 501305 is about 708.0289542102. The cubic root of 501305 is about 79.4390445559.

The spelling of 501305 in words is "five hundred one thousand, three hundred five".