41778027527521 has 2 divisors, whose sum is σ = 41778027527522. Its totient is φ = 41778027527520.

The previous prime is 41778027527461. The next prime is 41778027527563. The reversal of 41778027527521 is 12572572087714.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 29130188823121 + 12647838704400 = 5397239^2 + 3556380^2 .

It is a cyclic number.

It is not a de Polignac number, because 41778027527521 - 2³¹ = 41775880043873 is a prime.

It is not a weakly prime, because it can be changed into another prime (41778027527321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 20889013763760 + 20889013763761.

It is an arithmetic number, because the mean of its divisors is an integer number (20889013763761).

Almost surely, 2^{41778027527521} is an apocalyptic number.

It is an amenable number.

41778027527521 is a deficient number, since it is larger than the sum of its proper divisors (1).

41778027527521 is an equidigital number, since it uses as much as digits as its factorization.

41778027527521 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 15366400, while the sum is 58.

The spelling of 41778027527521 in words is "forty-one trillion, seven hundred seventy-eight billion, twenty-seven million, five hundred twenty-seven thousand, five hundred twenty-one".