505033 has 2 divisors, whose sum is σ = 505034. Its totient is φ = 505032.

The previous prime is 505031. The next prime is 505049. The reversal of 505033 is 330505.

It is a happy number.

It is an a-pointer prime, because the next prime (505049) can be obtained adding 505033 to its sum of digits (16).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 499849 + 5184 = 707^2 + 72^2 .

It is a cyclic number.

It is not a de Polignac number, because 505033 - 2¹ = 505031 is a prime.

Together with 505031, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 504998 and 505016.

It is not a weakly prime, because it can be changed into another prime (505031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 252516 + 252517.

It is an arithmetic number, because the mean of its divisors is an integer number (252517).

2⁵⁰⁵⁰³³ is an apocalyptic number.

It is an amenable number.

505033 is a deficient number, since it is larger than the sum of its proper divisors (1).

505033 is an equidigital number, since it uses as much as digits as its factorization.

505033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 225, while the sum is 16.

The square root of 505033 is about 710.6567385173. The cubic root of 505033 is about 79.6354769765.

Adding to 505033 its reverse (330505), we get a palindrome (835538).

The spelling of 505033 in words is "five hundred five thousand, thirty-three".