985386601601 has 2 divisors, whose sum is σ = 985386601602. Its totient is φ = 985386601600.

The previous prime is 985386601561. The next prime is 985386601607. The reversal of 985386601601 is 106106683589.

985386601601 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 920878221376 + 64508380225 = 959624^2 + 253985^2 .

It is a cyclic number.

It is not a de Polignac number, because 985386601601 - 2³⁸ = 710508694657 is a prime.

It is a super-2 number, since 2×985386601601² (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (985386601607) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 492693300800 + 492693300801.

It is an arithmetic number, because the mean of its divisors is an integer number (492693300801).

Almost surely, 2^985386601601 is an apocalyptic number.

It is an amenable number.

985386601601 is a deficient number, since it is larger than the sum of its proper divisors (1).

985386601601 is an equidigital number, since it uses as much as digits as its factorization.

985386601601 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1866240, while the sum is 53.

The spelling of 985386601601 in words is "nine hundred eighty-five billion, three hundred eighty-six million, six hundred one thousand, six hundred one".