41582824013 has 2 divisors, whose sum is σ = 41582824014. Its totient is φ = 41582824012.

The previous prime is 41582823937. The next prime is 41582824021. The reversal of 41582824013 is 31042828514.

41582824013 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., 39904856644 + 1677967369 = 199762^2 + 40963^2 .

It is a cyclic number.

It is not a de Polignac number, because 41582824013 - 2²² = 41578629709 is a prime.

It is a super-2 number, since 2×41582824013² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (41582824513) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 20791412006 + 20791412007.

It is an arithmetic number, because the mean of its divisors is an integer number (20791412007).

Almost surely, 2^41582824013 is an apocalyptic number.

It is an amenable number.

41582824013 is a deficient number, since it is larger than the sum of its proper divisors (1).

41582824013 is an equidigital number, since it uses as much as digits as its factorization.

41582824013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 61440, while the sum is 38.

The spelling of 41582824013 in words is "forty-one billion, five hundred eighty-two million, eight hundred twenty-four thousand, thirteen".