233005313 has 6 divisors (see below), whose sum is σ = 233797014. Its totient is φ = 232216224.

The previous prime is 233005309. The next prime is 233005321. The reversal of 233005313 is 313500332.

It can be written as a sum of positive squares in 3 ways, for example, as 130347889 + 102657424 = 11417^2 + 10132^2 .

It is not a de Polignac number, because 233005313 - 2² = 233005309 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (233005363) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 120845 + ... + 122757.

It is an arithmetic number, because the mean of its divisors is an integer number (38966169).

Almost surely, 2^233005313 is an apocalyptic number.

It is an amenable number.

233005313 is a deficient number, since it is larger than the sum of its proper divisors (791701).

233005313 is an frugal number, since it uses more digits than its factorization.

233005313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2611 (or 2262 counting only the distinct ones).

The product of its (nonzero) digits is 810, while the sum is 20.

The square root of 233005313 is about 15264.5115545831. The cubic root of 233005313 is about 615.3496264806.

Adding to 233005313 its reverse (313500332), we get a palindrome (546505645).

The spelling of 233005313 in words is "two hundred thirty-three million, five thousand, three hundred thirteen".