505352301333 has 32 divisors (see below), whose sum is σ = 741610045440. Its totient is φ = 303549039360.

The previous prime is 505352301271. The next prime is 505352301353. The reversal of 505352301333 is 333103253505.

It is not a de Polignac number, because 505352301333 - 2⁹ = 505352300821 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 505352301294 and 505352301303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505352301353) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4032898 + ... + 4156316.

It is an arithmetic number, because the mean of its divisors is an integer number (23175313920).

Almost surely, 2^505352301333 is an apocalyptic number.

It is an amenable number.

505352301333 is a deficient number, since it is larger than the sum of its proper divisors (236257744107).

505352301333 is a wasteful number, since it uses less digits than its factorization.

505352301333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124537.

The product of its (nonzero) digits is 60750, while the sum is 33.

Adding to 505352301333 its reverse (333103253505), we get a palindrome (838455554838).

The spelling of 505352301333 in words is "five hundred five billion, three hundred fifty-two million, three hundred one thousand, three hundred thirty-three".