6001101605657 has 2 divisors, whose sum is σ = 6001101605658. Its totient is φ = 6001101605656.

The previous prime is 6001101605581. The next prime is 6001101605669. The reversal of 6001101605657 is 7565061011006.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3189238792336 + 2811862813321 = 1785844^2 + 1676861^2 .

It is a cyclic number.

It is not a de Polignac number, because 6001101605657 - 2²⁴ = 6001084828441 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 6001101605657.

It is not a weakly prime, because it can be changed into another prime (6001101601657) 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, 3000550802828 + 3000550802829.

It is an arithmetic number, because the mean of its divisors is an integer number (3000550802829).

Almost surely, 2^{6001101605657} is an apocalyptic number.

It is an amenable number.

6001101605657 is a deficient number, since it is larger than the sum of its proper divisors (1).

6001101605657 is an equidigital number, since it uses as much as digits as its factorization.

6001101605657 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 37800, while the sum is 38.

The spelling of 6001101605657 in words is "six trillion, one billion, one hundred one million, six hundred five thousand, six hundred fifty-seven".