505100033 has 16 divisors (see below), whose sum is σ = 542505600. Its totient is φ = 469096320.

The previous prime is 505100021. The next prime is 505100041. The reversal of 505100033 is 330001505.

It is a cyclic number.

It is not a de Polignac number, because 505100033 - 2¹⁸ = 504837889 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 505099984 and 505100020.

It is not an unprimeable number, because it can be changed into a prime (505100053) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 214778 + ... + 217116.

It is an arithmetic number, because the mean of its divisors is an integer number (33906600).

Almost surely, 2^505100033 is an apocalyptic number.

It is an amenable number.

505100033 is a deficient number, since it is larger than the sum of its proper divisors (37405567).

505100033 is a wasteful number, since it uses less digits than its factorization.

505100033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2632.

The product of its (nonzero) digits is 225, while the sum is 17.

The square root of 505100033 is about 22474.4306490732. The cubic root of 505100033 is about 796.3900015798.

Adding to 505100033 its reverse (330001505), we get a palindrome (835101538).

The spelling of 505100033 in words is "five hundred five million, one hundred thousand, thirty-three".