41509513657 has 2 divisors, whose sum is σ = 41509513658. Its totient is φ = 41509513656.

The previous prime is 41509513597. The next prime is 41509513681. The reversal of 41509513657 is 75631590514.

41509513657 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 39107435536 + 2402078121 = 197756^2 + 49011^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-41509513657 is a prime.

It is not a weakly prime, because it can be changed into another prime (41509519657) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 20754756828 + 20754756829.

It is an arithmetic number, because the mean of its divisors is an integer number (20754756829).

Almost surely, 2^41509513657 is an apocalyptic number.

It is an amenable number.

41509513657 is a deficient number, since it is larger than the sum of its proper divisors (1).

41509513657 is an equidigital number, since it uses as much as digits as its factorization.

41509513657 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 567000, while the sum is 46.

The spelling of 41509513657 in words is "forty-one billion, five hundred nine million, five hundred thirteen thousand, six hundred fifty-seven".