2251461055201 has 2 divisors, whose sum is σ = 2251461055202. Its totient is φ = 2251461055200.

The previous prime is 2251461055171. The next prime is 2251461055213. The reversal of 2251461055201 is 1025501641522.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2216671344801 + 34789710400 = 1488849^2 + 186520^2 .

It is a cyclic number.

It is not a de Polignac number, because 2251461055201 - 2¹⁷ = 2251460924129 is a prime.

It is not a weakly prime, because it can be changed into another prime (2251461055241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1125730527600 + 1125730527601.

It is an arithmetic number, because the mean of its divisors is an integer number (1125730527601).

Almost surely, 2^{2251461055201} is an apocalyptic number.

It is an amenable number.

2251461055201 is a deficient number, since it is larger than the sum of its proper divisors (1).

2251461055201 is an equidigital number, since it uses as much as digits as its factorization.

2251461055201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 24000, while the sum is 34.

Adding to 2251461055201 its reverse (1025501641522), we get a palindrome (3276962696723).

The spelling of 2251461055201 in words is "two trillion, two hundred fifty-one billion, four hundred sixty-one million, fifty-five thousand, two hundred one".