51311059582241 has 2 divisors, whose sum is σ = 51311059582242. Its totient is φ = 51311059582240.

The previous prime is 51311059582151. The next prime is 51311059582309. The reversal of 51311059582241 is 14228595011315.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 48503772736225 + 2807286846016 = 6964465^2 + 1675496^2 .

It is a cyclic number.

It is not a de Polignac number, because 51311059582241 - 2⁴² = 46913013071137 is a prime.

It is not a weakly prime, because it can be changed into another prime (51311059582841) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 25655529791120 + 25655529791121.

It is an arithmetic number, because the mean of its divisors is an integer number (25655529791121).

Almost surely, 2^{51311059582241} is an apocalyptic number.

It is an amenable number.

51311059582241 is a deficient number, since it is larger than the sum of its proper divisors (1).

51311059582241 is an equidigital number, since it uses as much as digits as its factorization.

51311059582241 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 432000, while the sum is 47.

The spelling of 51311059582241 in words is "fifty-one trillion, three hundred eleven billion, fifty-nine million, five hundred eighty-two thousand, two hundred forty-one".