985505958958101 has 12 divisors (see below), whose sum is σ = 1528539854710752. Its totient is φ = 563146262261688.

The previous prime is 985505958958091. The next prime is 985505958958117. The reversal of 985505958958101 is 101859859505589.

985505958958101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 985505958958101 - 2⁴⁹ = 422556005536789 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 985505958957999 and 985505958958017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (985505958958151) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3352061084745 + ... + 3352061085038.

It is an arithmetic number, because the mean of its divisors is an integer number (127378321225896).

Almost surely, 2^{985505958958101} is an apocalyptic number.

It is an amenable number.

985505958958101 is a deficient number, since it is larger than the sum of its proper divisors (543033895752651).

985505958958101 is a wasteful number, since it uses less digits than its factorization.

985505958958101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6704122169800 (or 6704122169793 counting only the distinct ones).

The product of its (nonzero) digits is 1166400000, while the sum is 78.

The spelling of 985505958958101 in words is "nine hundred eighty-five trillion, five hundred five billion, nine hundred fifty-eight million, nine hundred fifty-eight thousand, one hundred one".