2505200033 has 16 divisors (see below), whose sum is σ = 2988689664. Its totient is φ = 2055015360.

The previous prime is 2505200011. The next prime is 2505200077. The reversal of 2505200033 is 3300025052.

It is a cyclic number.

It is not a de Polignac number, because 2505200033 - 2¹⁰ = 2505199009 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2505199978 and 2505200014.

It is not an unprimeable number, because it can be changed into a prime (2505200333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 63485 + ... + 95082.

It is an arithmetic number, because the mean of its divisors is an integer number (186793104).

Almost surely, 2^2505200033 is an apocalyptic number.

It is an amenable number.

2505200033 is a deficient number, since it is larger than the sum of its proper divisors (483489631).

2505200033 is a wasteful number, since it uses less digits than its factorization.

2505200033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158672.

The product of its (nonzero) digits is 900, while the sum is 20.

The square root of 2505200033 is about 50051.9733177424. The cubic root of 2505200033 is about 1358.1491606955.

Adding to 2505200033 its reverse (3300025052), we get a palindrome (5805225085).

The spelling of 2505200033 in words is "two billion, five hundred five million, two hundred thousand, thirty-three".