259741831441 has 2 divisors, whose sum is σ = 259741831442. Its totient is φ = 259741831440.

The previous prime is 259741831439. The next prime is 259741831501. The reversal of 259741831441 is 144138147952.

259741831441 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 257966473216 + 1775358225 = 507904^2 + 42135^2 .

It is a cyclic number.

It is not a de Polignac number, because 259741831441 - 2¹ = 259741831439 is a prime.

It is a super-2 number, since 2×259741831441² (a number of 24 digits) contains 22 as substring.

Together with 259741831439, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (259741831841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 129870915720 + 129870915721.

It is an arithmetic number, because the mean of its divisors is an integer number (129870915721).

Almost surely, 2^259741831441 is an apocalyptic number.

It is an amenable number.

259741831441 is a deficient number, since it is larger than the sum of its proper divisors (1).

259741831441 is an equidigital number, since it uses as much as digits as its factorization.

259741831441 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 967680, while the sum is 49.

The spelling of 259741831441 in words is "two hundred fifty-nine billion, seven hundred forty-one million, eight hundred thirty-one thousand, four hundred forty-one".