505301 has 2 divisors, whose sum is σ = 505302. Its totient is φ = 505300.

The previous prime is 505283. The next prime is 505313. The reversal of 505301 is 103505.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 421201 + 84100 = 649^2 + 290^2 .

It is a cyclic number.

It is not a de Polignac number, because 505301 - 2⁶ = 505237 is a prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (505321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 252650 + 252651.

It is an arithmetic number, because the mean of its divisors is an integer number (252651).

2⁵⁰⁵³⁰¹ is an apocalyptic number.

It is an amenable number.

505301 is a deficient number, since it is larger than the sum of its proper divisors (1).

505301 is an equidigital number, since it uses as much as digits as its factorization.

505301 is an odious number, because the sum of its binary digits is odd.

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

The square root of 505301 is about 710.8452714902. The cubic root of 505301 is about 79.6495608969.

Adding to 505301 its reverse (103505), we get a palindrome (608806).

The spelling of 505301 in words is "five hundred five thousand, three hundred one".