41597337601 has 2 divisors, whose sum is σ = 41597337602. Its totient is φ = 41597337600.

The previous prime is 41597337599. The next prime is 41597337623. The reversal of 41597337601 is 10673379514.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 41542592400 + 54745201 = 203820^2 + 7399^2 .

It is a cyclic number.

It is not a de Polignac number, because 41597337601 - 2¹ = 41597337599 is a prime.

Together with 41597337599, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (41597397601) 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, 20798668800 + 20798668801.

It is an arithmetic number, because the mean of its divisors is an integer number (20798668801).

Almost surely, 2^41597337601 is an apocalyptic number.

It is an amenable number.

41597337601 is a deficient number, since it is larger than the sum of its proper divisors (1).

41597337601 is an equidigital number, since it uses as much as digits as its factorization.

41597337601 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 476280, while the sum is 46.

The spelling of 41597337601 in words is "forty-one billion, five hundred ninety-seven million, three hundred thirty-seven thousand, six hundred one".