2252005243261 has 2 divisors, whose sum is σ = 2252005243262. Its totient is φ = 2252005243260.

The previous prime is 2252005243259. The next prime is 2252005243289. The reversal of 2252005243261 is 1623425002522.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2217225231225 + 34780012036 = 1489035^2 + 186494^2 .

It is a cyclic number.

It is not a de Polignac number, because 2252005243261 - 2¹ = 2252005243259 is a prime.

Together with 2252005243259, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2252005243291) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1126002621630 + 1126002621631.

It is an arithmetic number, because the mean of its divisors is an integer number (1126002621631).

Almost surely, 2^{2252005243261} is an apocalyptic number.

It is an amenable number.

2252005243261 is a deficient number, since it is larger than the sum of its proper divisors (1).

2252005243261 is an equidigital number, since it uses as much as digits as its factorization.

2252005243261 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 57600, while the sum is 34.

The spelling of 2252005243261 in words is "two trillion, two hundred fifty-two billion, five million, two hundred forty-three thousand, two hundred sixty-one".