2251444001 has 2 divisors, whose sum is σ = 2251444002. Its totient is φ = 2251444000.

The previous prime is 2251443983. The next prime is 2251444003. The reversal of 2251444001 is 1004441522.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2196328225 + 55115776 = 46865^2 + 7424^2 .

It is a cyclic number.

It is not a de Polignac number, because 2251444001 - 2²⁶ = 2184335137 is a prime.

Together with 2251444003, 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 (2251444003) 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, 1125722000 + 1125722001.

It is an arithmetic number, because the mean of its divisors is an integer number (1125722001).

Almost surely, 2^2251444001 is an apocalyptic number.

It is an amenable number.

2251444001 is a deficient number, since it is larger than the sum of its proper divisors (1).

2251444001 is an equidigital number, since it uses as much as digits as its factorization.

2251444001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1280, while the sum is 23.

The square root of 2251444001 is about 47449.3835681772. The cubic root of 2251444001 is about 1310.6509596164.

Adding to 2251444001 its reverse (1004441522), we get a palindrome (3255885523).

The spelling of 2251444001 in words is "two billion, two hundred fifty-one million, four hundred forty-four thousand, one".