505200033 has 72 divisors (see below), whose sum is σ = 851072768. Its totient is φ = 286944768.

The previous prime is 505200019. The next prime is 505200041. The reversal of 505200033 is 330002505.

It is not a de Polignac number, because 505200033 - 2¹⁴ = 505183649 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 505199979 and 505200015.

It is not an unprimeable number, because it can be changed into a prime (505200233) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2265360 + ... + 2265582.

Almost surely, 2^505200033 is an apocalyptic number.

It is an amenable number.

505200033 is a deficient number, since it is larger than the sum of its proper divisors (345872735).

505200033 is a wasteful number, since it uses less digits than its factorization.

505200033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 343 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 18.

The square root of 505200033 is about 22476.6552894331. The cubic root of 505200033 is about 796.4425546979.

Adding to 505200033 its reverse (330002505), we get a palindrome (835202538).

The spelling of 505200033 in words is "five hundred five million, two hundred thousand, thirty-three".