1252889936033 has 2 divisors, whose sum is σ = 1252889936034. Its totient is φ = 1252889936032.

The previous prime is 1252889935991. The next prime is 1252889936071. The reversal of 1252889936033 is 3306399882521.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1202656575649 + 50233360384 = 1096657^2 + 224128^2 .

It is an emirp because it is prime and its reverse (3306399882521) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1252889936033 - 2¹⁰ = 1252889935009 is a prime.

It is not a weakly prime, because it can be changed into another prime (1252889936083) 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 as a sum of consecutive naturals, namely, 626444968016 + 626444968017.

It is an arithmetic number, because the mean of its divisors is an integer number (626444968017).

Almost surely, 2^{1252889936033} is an apocalyptic number.

It is an amenable number.

1252889936033 is a deficient number, since it is larger than the sum of its proper divisors (1).

1252889936033 is an equidigital number, since it uses as much as digits as its factorization.

1252889936033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16796160, while the sum is 59.

The spelling of 1252889936033 in words is "one trillion, two hundred fifty-two billion, eight hundred eighty-nine million, nine hundred thirty-six thousand, thirty-three".