508021 has 2 divisors, whose sum is σ = 508022. Its totient is φ = 508020.

The previous prime is 508019. The next prime is 508033. The reversal of 508021 is 120805.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 505521 + 2500 = 711^2 + 50^2 .

It is a cyclic number.

It is not a de Polignac number, because 508021 - 2¹ = 508019 is a prime.

It is a super-3 number, since 3×508021³ = 393338312112279783, which contains 333 as substring.

Together with 508019, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 507986 and 508004.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (508091) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 254010 + 254011.

It is an arithmetic number, because the mean of its divisors is an integer number (254011).

2⁵⁰⁸⁰²¹ is an apocalyptic number.

It is an amenable number.

508021 is a deficient number, since it is larger than the sum of its proper divisors (1).

508021 is an equidigital number, since it uses as much as digits as its factorization.

508021 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 80, while the sum is 16.

The square root of 508021 is about 712.7559189512. The cubic root of 508021 is about 79.7922212337.

Adding to 508021 its reverse (120805), we get a palindrome (628826).

The spelling of 508021 in words is "five hundred eight thousand, twenty-one".