41509513681 has 2 divisors, whose sum is σ = 41509513682. Its totient is φ = 41509513680.

The previous prime is 41509513657. The next prime is 41509513733. The reversal of 41509513681 is 18631590514.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 29255023681 + 12254490000 = 171041^2 + 110700^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-41509513681 is a prime.

It is a super-2 number, since 2×41509513681² (a number of 22 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (41509513781) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 20754756840 + 20754756841.

It is an arithmetic number, because the mean of its divisors is an integer number (20754756841).

Almost surely, 2^41509513681 is an apocalyptic number.

It is an amenable number.

41509513681 is a deficient number, since it is larger than the sum of its proper divisors (1).

41509513681 is an equidigital number, since it uses as much as digits as its factorization.

41509513681 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 129600, while the sum is 43.

The spelling of 41509513681 in words is "forty-one billion, five hundred nine million, five hundred thirteen thousand, six hundred eighty-one".