526181641256441 has 2 divisors, whose sum is σ = 526181641256442. Its totient is φ = 526181641256440.

The previous prime is 526181641256393. The next prime is 526181641256483. The reversal of 526181641256441 is 144652146181625.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 500068928052841 + 26112713203600 = 22362221^2 + 5110060^2 .

It is a cyclic number.

It is not a de Polignac number, because 526181641256441 - 2³⁸ = 525906763349497 is a prime.

It is not a weakly prime, because it can be changed into another prime (526181641256741) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 263090820628220 + 263090820628221.

It is an arithmetic number, because the mean of its divisors is an integer number (263090820628221).

Almost surely, 2^{526181641256441} is an apocalyptic number.

It is an amenable number.

526181641256441 is a deficient number, since it is larger than the sum of its proper divisors (1).

526181641256441 is an equidigital number, since it uses as much as digits as its factorization.

526181641256441 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 11059200, while the sum is 56.

The spelling of 526181641256441 in words is "five hundred twenty-six trillion, one hundred eighty-one billion, six hundred forty-one million, two hundred fifty-six thousand, four hundred forty-one".