3867137811601 has 2 divisors, whose sum is σ = 3867137811602. Its totient is φ = 3867137811600.

The previous prime is 3867137811599. The next prime is 3867137811613. The reversal of 3867137811601 is 1061187317683.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 3753514885201 + 113622926400 = 1937399^2 + 337080^2 .

It is a cyclic number.

It is not a de Polignac number, because 3867137811601 - 2¹ = 3867137811599 is a prime.

Together with 3867137811599, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (3867137811101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1933568905800 + 1933568905801.

It is an arithmetic number, because the mean of its divisors is an integer number (1933568905801).

Almost surely, 2^{3867137811601} is an apocalyptic number.

It is an amenable number.

3867137811601 is a deficient number, since it is larger than the sum of its proper divisors (1).

3867137811601 is an equidigital number, since it uses as much as digits as its factorization.

3867137811601 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1016064, while the sum is 52.

The spelling of 3867137811601 in words is "three trillion, eight hundred sixty-seven billion, one hundred thirty-seven million, eight hundred eleven thousand, six hundred one".