506201 has 2 divisors, whose sum is σ = 506202. Its totient is φ = 506200.

The previous prime is 506183. The next prime is 506213. The reversal of 506201 is 102605.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 384400 + 121801 = 620^2 + 349^2 .

It is a cyclic number.

It is not a de Polignac number, because 506201 - 2¹⁴ = 489817 is a prime.

It is a Chen prime.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 506201.

It is not a weakly prime, because it can be changed into another prime (506251) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 253100 + 253101.

It is an arithmetic number, because the mean of its divisors is an integer number (253101).

2⁵⁰⁶²⁰¹ is an apocalyptic number.

It is an amenable number.

506201 is a deficient number, since it is larger than the sum of its proper divisors (1).

506201 is an equidigital number, since it uses as much as digits as its factorization.

506201 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 60, while the sum is 14.

The square root of 506201 is about 711.4780390146. The cubic root of 506201 is about 79.6968212344.

Adding to 506201 its reverse (102605), we get a palindrome (608806).

It can be divided in two parts, 506 and 201, that added together give a palindrome (707).

The spelling of 506201 in words is "five hundred six thousand, two hundred one".