512021 has 2 divisors, whose sum is σ = 512022. Its totient is φ = 512020.

The previous prime is 512011. The next prime is 512047. The reversal of 512021 is 120215.

512021 is nontrivially palindromic in base 14.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 504100 + 7921 = 710^2 + 89^2 .

It is a cyclic number.

It is not a de Polignac number, because 512021 - 2¹⁴ = 495637 is a prime.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 511993 and 512011.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (512011) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 256010 + 256011.

It is an arithmetic number, because the mean of its divisors is an integer number (256011).

2⁵¹²⁰²¹ is an apocalyptic number.

It is an amenable number.

512021 is a deficient number, since it is larger than the sum of its proper divisors (1).

512021 is an equidigital number, since it uses as much as digits as its factorization.

512021 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 20, while the sum is 11.

The square root of 512021 is about 715.5564268456. The cubic root of 512021 is about 80.0010937350.

Adding to 512021 its reverse (120215), we get a palindrome (632236).

The spelling of 512021 in words is "five hundred twelve thousand, twenty-one".