505201 has 2 divisors, whose sum is σ = 505202. Its totient is φ = 505200.

The previous prime is 505187. The next prime is 505213. The reversal of 505201 is 102505.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 429025 + 76176 = 655^2 + 276^2 .

It is a cyclic number.

It is not a de Polignac number, because 505201 - 2⁷ = 505073 is a prime.

505201 is a lucky number.

It is not a weakly prime, because it can be changed into another prime (505231) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 252600 + 252601.

It is an arithmetic number, because the mean of its divisors is an integer number (252601).

2⁵⁰⁵²⁰¹ is an apocalyptic number.

It is an amenable number.

505201 is a deficient number, since it is larger than the sum of its proper divisors (1).

505201 is an equidigital number, since it uses as much as digits as its factorization.

505201 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 50, while the sum is 13.

The square root of 505201 is about 710.7749292146. The cubic root of 505201 is about 79.6443062853.

Adding to 505201 its reverse (102505), we get a palindrome (607706).

The spelling of 505201 in words is "five hundred five thousand, two hundred one".