3585413640241 has 2 divisors, whose sum is σ = 3585413640242. Its totient is φ = 3585413640240.

The previous prime is 3585413640203. The next prime is 3585413640287. The reversal of 3585413640241 is 1420463145853.

It is an a-pointer prime, because the next prime (3585413640287) can be obtained adding 3585413640241 to its sum of digits (46).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1962439558641 + 1622974081600 = 1400871^2 + 1273960^2 .

It is a cyclic number.

It is not a de Polignac number, because 3585413640241 - 2⁷ = 3585413640113 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 3585413640191 and 3585413640200.

It is not a weakly prime, because it can be changed into another prime (3585413140241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1792706820120 + 1792706820121.

It is an arithmetic number, because the mean of its divisors is an integer number (1792706820121).

Almost surely, 2^{3585413640241} is an apocalyptic number.

It is an amenable number.

3585413640241 is a deficient number, since it is larger than the sum of its proper divisors (1).

3585413640241 is an equidigital number, since it uses as much as digits as its factorization.

3585413640241 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1382400, while the sum is 46.

The spelling of 3585413640241 in words is "three trillion, five hundred eighty-five billion, four hundred thirteen million, six hundred forty thousand, two hundred forty-one".