233204233223513 has 16 divisors (see below), whose sum is σ = 242363779136400. Its totient is φ = 224210822086656.

The previous prime is 233204233223413. The next prime is 233204233223531. The reversal of 233204233223513 is 315322332402332.

It can be written as a sum of positive squares in 8 ways, for example, as 15197000178889 + 218007233044624 = 3898333^2 + 14765068^2 .

It is not a de Polignac number, because 233204233223513 - 2²⁰ = 233204232174937 is a prime.

It is a super-2 number, since 2×233204233223513² (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (233204233223413) 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, 108523520 + ... + 110651537.

It is an arithmetic number, because the mean of its divisors is an integer number (15147736196025).

Almost surely, 2^{233204233223513} is an apocalyptic number.

It is an amenable number.

233204233223513 is a deficient number, since it is larger than the sum of its proper divisors (9159545912887).

233204233223513 is a wasteful number, since it uses less digits than its factorization.

233204233223513 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219175436.

The product of its (nonzero) digits is 466560, while the sum is 38.

Adding to 233204233223513 its reverse (315322332402332), we get a palindrome (548526565625845).

The spelling of 233204233223513 in words is "two hundred thirty-three trillion, two hundred four billion, two hundred thirty-three million, two hundred twenty-three thousand, five hundred thirteen".