2551681441 has 2 divisors, whose sum is σ = 2551681442. Its totient is φ = 2551681440.

The previous prime is 2551681439. The next prime is 2551681459. The reversal of 2551681441 is 1441861552.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2330861841 + 220819600 = 48279^2 + 14860^2 .

It is a cyclic number.

It is not a de Polignac number, because 2551681441 - 2¹ = 2551681439 is a prime.

It is a super-2 number, since 2×2551681441² = 13022156352687672962, which contains 22 as substring.

Together with 2551681439, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 2551681441.

It is not a weakly prime, because it can be changed into another prime (2551681541) 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, 1275840720 + 1275840721.

It is an arithmetic number, because the mean of its divisors is an integer number (1275840721).

Almost surely, 2^2551681441 is an apocalyptic number.

It is an amenable number.

2551681441 is a deficient number, since it is larger than the sum of its proper divisors (1).

2551681441 is an equidigital number, since it uses as much as digits as its factorization.

2551681441 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 38400, while the sum is 37.

The square root of 2551681441 is about 50514.1706949644. The cubic root of 2551681441 is about 1366.4974270372.

The spelling of 2551681441 in words is "two billion, five hundred fifty-one million, six hundred eighty-one thousand, four hundred forty-one".