2252005243289 has 2 divisors, whose sum is σ = 2252005243290. Its totient is φ = 2252005243288.

The previous prime is 2252005243261. The next prime is 2252005243291. The reversal of 2252005243289 is 9823425002522.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2251905403225 + 99840064 = 1500635^2 + 9992^2 .

It is a cyclic number.

It is not a de Polignac number, because 2252005243289 - 2¹² = 2252005239193 is a prime.

It is a super-2 number, since 2×2252005243289² (a number of 26 digits) contains 22 as substring.

It is a Sophie Germain prime.

Together with 2252005243291, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (2252005243259) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1126002621644 + 1126002621645.

It is an arithmetic number, because the mean of its divisors is an integer number (1126002621645).

Almost surely, 2^{2252005243289} is an apocalyptic number.

It is an amenable number.

2252005243289 is a deficient number, since it is larger than the sum of its proper divisors (1).

2252005243289 is an equidigital number, since it uses as much as digits as its factorization.

2252005243289 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 691200, while the sum is 44.

The spelling of 2252005243289 in words is "two trillion, two hundred fifty-two billion, five million, two hundred forty-three thousand, two hundred eighty-nine".