233122529 has 2 divisors, whose sum is σ = 233122530. Its totient is φ = 233122528.

The previous prime is 233122499. The next prime is 233122531. The reversal of 233122529 is 925221332.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 152571904 + 80550625 = 12352^2 + 8975^2 .

It is a cyclic number.

It is not a de Polignac number, because 233122529 - 2²⁴ = 216345313 is a prime.

It is a super-2 number, since 2×233122529² = 108692227054711682, which contains 22 as substring.

Together with 233122531, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (233122559) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 116561264 + 116561265.

It is an arithmetic number, because the mean of its divisors is an integer number (116561265).

Almost surely, 2^233122529 is an apocalyptic number.

It is an amenable number.

233122529 is a deficient number, since it is larger than the sum of its proper divisors (1).

233122529 is an equidigital number, since it uses as much as digits as its factorization.

233122529 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 6480, while the sum is 29.

The square root of 233122529 is about 15268.3505657946. The cubic root of 233122529 is about 615.4527954158.

The spelling of 233122529 in words is "two hundred thirty-three million, one hundred twenty-two thousand, five hundred twenty-nine".