3807138558241 has 2 divisors, whose sum is σ = 3807138558242. Its totient is φ = 3807138558240.

The previous prime is 3807138558221. The next prime is 3807138558259. The reversal of 3807138558241 is 1428558317083.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2688206180625 + 1118932377616 = 1639575^2 + 1057796^2 .

It is a cyclic number.

It is not a de Polignac number, because 3807138558241 - 2³¹ = 3804991074593 is a prime.

It is not a weakly prime, because it can be changed into another prime (3807138558221) 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, 1903569279120 + 1903569279121.

It is an arithmetic number, because the mean of its divisors is an integer number (1903569279121).

Almost surely, 2^{3807138558241} is an apocalyptic number.

It is an amenable number.

3807138558241 is a deficient number, since it is larger than the sum of its proper divisors (1).

3807138558241 is an equidigital number, since it uses as much as digits as its factorization.

3807138558241 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6451200, while the sum is 55.

The spelling of 3807138558241 in words is "three trillion, eight hundred seven billion, one hundred thirty-eight million, five hundred fifty-eight thousand, two hundred forty-one".