2252534423561 has 2 divisors, whose sum is σ = 2252534423562. Its totient is φ = 2252534423560.

The previous prime is 2252534423507. The next prime is 2252534423563. The reversal of 2252534423561 is 1653244352522.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2251857383161 + 677040400 = 1500619^2 + 26020^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2252534423561 is a prime.

It is a super-2 number, since 2×2252534423561² (a number of 26 digits) contains 22 as substring.

Together with 2252534423563, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (2252534423563) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1126267211780 + 1126267211781.

It is an arithmetic number, because the mean of its divisors is an integer number (1126267211781).

Almost surely, 2^{2252534423561} is an apocalyptic number.

It is an amenable number.

2252534423561 is a deficient number, since it is larger than the sum of its proper divisors (1).

2252534423561 is an equidigital number, since it uses as much as digits as its factorization.

2252534423561 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1728000, while the sum is 44.

The spelling of 2252534423561 in words is "two trillion, two hundred fifty-two billion, five hundred thirty-four million, four hundred twenty-three thousand, five hundred sixty-one".