2252005243291 has 2 divisors, whose sum is σ = 2252005243292. Its totient is φ = 2252005243290.

The previous prime is 2252005243289. The next prime is 2252005243321. The reversal of 2252005243291 is 1923425002522.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 2252005243291 - 2¹ = 2252005243289 is a prime.

It is a super-2 number, since 2×2252005243291² (a number of 26 digits) contains 22 as substring.

Together with 2252005243289, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 2252005243291.

It is not a weakly prime, because it can be changed into another prime (2252005243261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1126002621645 + 1126002621646.

It is an arithmetic number, because the mean of its divisors is an integer number (1126002621646).

Almost surely, 2^{2252005243291} is an apocalyptic number.

2252005243291 is a deficient number, since it is larger than the sum of its proper divisors (1).

2252005243291 is an equidigital number, since it uses as much as digits as its factorization.

2252005243291 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 86400, while the sum is 37.

The spelling of 2252005243291 in words is "two trillion, two hundred fifty-two billion, five million, two hundred forty-three thousand, two hundred ninety-one".