41485585825601 has 2 divisors, whose sum is σ = 41485585825602. Its totient is φ = 41485585825600.

The previous prime is 41485585825427. The next prime is 41485585825613. The reversal of 41485585825601 is 10652858558414.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 40121772930625 + 1363812894976 = 6334175^2 + 1167824^2 .

It is a cyclic number.

It is not a de Polignac number, because 41485585825601 - 2²⁶ = 41485518716737 is a prime.

It is a super-2 number, since 2×41485585825601² (a number of 28 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (41485585825631) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 20742792912800 + 20742792912801.

It is an arithmetic number, because the mean of its divisors is an integer number (20742792912801).

Almost surely, 2^{41485585825601} is an apocalyptic number.

It is an amenable number.

41485585825601 is a deficient number, since it is larger than the sum of its proper divisors (1).

41485585825601 is an equidigital number, since it uses as much as digits as its factorization.

41485585825601 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 61440000, while the sum is 62.

The spelling of 41485585825601 in words is "forty-one trillion, four hundred eighty-five billion, five hundred eighty-five million, eight hundred twenty-five thousand, six hundred one".