1205312233 has 2 divisors, whose sum is σ = 1205312234. Its totient is φ = 1205312232.

The previous prime is 1205312191. The next prime is 1205312249. The reversal of 1205312233 is 3322135021.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 724255744 + 481056489 = 26912^2 + 21933^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1205312233 is a prime.

It is not a weakly prime, because it can be changed into another prime (1205315233) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 602656116 + 602656117.

It is an arithmetic number, because the mean of its divisors is an integer number (602656117).

Almost surely, 2^1205312233 is an apocalyptic number.

It is an amenable number.

1205312233 is a deficient number, since it is larger than the sum of its proper divisors (1).

1205312233 is an equidigital number, since it uses as much as digits as its factorization.

1205312233 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1080, while the sum is 22.

The square root of 1205312233 is about 34717.6069595818. The cubic root of 1205312233 is about 1064.2243414982.

Adding to 1205312233 its reverse (3322135021), we get a palindrome (4527447254).

The spelling of 1205312233 in words is "one billion, two hundred five million, three hundred twelve thousand, two hundred thirty-three".