3121263661601 has 2 divisors, whose sum is σ = 3121263661602. Its totient is φ = 3121263661600.

The previous prime is 3121263661519. The next prime is 3121263661657. The reversal of 3121263661601 is 1061663621213.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2852302143376 + 268961518225 = 1688876^2 + 518615^2 .

It is a cyclic number.

It is not a de Polignac number, because 3121263661601 - 2²⁶ = 3121196552737 is a prime.

It is not a weakly prime, because it can be changed into another prime (3121263661501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1560631830800 + 1560631830801.

It is an arithmetic number, because the mean of its divisors is an integer number (1560631830801).

Almost surely, 2^{3121263661601} is an apocalyptic number.

It is an amenable number.

3121263661601 is a deficient number, since it is larger than the sum of its proper divisors (1).

3121263661601 is an equidigital number, since it uses as much as digits as its factorization.

3121263661601 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 46656, while the sum is 38.

The spelling of 3121263661601 in words is "three trillion, one hundred twenty-one billion, two hundred sixty-three million, six hundred sixty-one thousand, six hundred one".