2252242202657 has 2 divisors, whose sum is σ = 2252242202658. Its totient is φ = 2252242202656.

The previous prime is 2252242202603. The next prime is 2252242202687. The reversal of 2252242202657 is 7562022422522.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1559478961681 + 692763240976 = 1248791^2 + 832324^2 .

It is a cyclic number.

It is not a de Polignac number, because 2252242202657 - 2¹⁰ = 2252242201633 is a prime.

It is not a weakly prime, because it can be changed into another prime (2252242202687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1126121101328 + 1126121101329.

It is an arithmetic number, because the mean of its divisors is an integer number (1126121101329).

Almost surely, 2^{2252242202657} is an apocalyptic number.

It is an amenable number.

2252242202657 is a deficient number, since it is larger than the sum of its proper divisors (1).

2252242202657 is an equidigital number, since it uses as much as digits as its factorization.

2252242202657 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 537600, while the sum is 41.

The spelling of 2252242202657 in words is "two trillion, two hundred fifty-two billion, two hundred forty-two million, two hundred two thousand, six hundred fifty-seven".