5205333903 has 32 divisors (see below), whose sum is σ = 8662617600. Its totient is φ = 2701071360.

The previous prime is 5205333899. The next prime is 5205333983. The reversal of 5205333903 is 3093335025.

5205333903 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 72148²-1.

It is not a de Polignac number, because 5205333903 - 2² = 5205333899 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5205333983) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 204423 + ... + 228471.

It is an arithmetic number, because the mean of its divisors is an integer number (270706800).

Almost surely, 2^5205333903 is an apocalyptic number.

5205333903 is a deficient number, since it is larger than the sum of its proper divisors (3457283697).

5205333903 is a wasteful number, since it uses less digits than its factorization.

5205333903 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25007.

The product of its (nonzero) digits is 36450, while the sum is 33.

The square root of 5205333903 is about 72147.9999930698. Note that the first 5 decimals coincide. The cubic root of 5205333903 is about 1733.0703717661.

Adding to 5205333903 its reverse (3093335025), we get a palindrome (8298668928).

The spelling of 5205333903 in words is "five billion, two hundred five million, three hundred thirty-three thousand, nine hundred three".