981385441201 has 9 divisors (see below), whose sum is σ = 1078724900953. Its totient is φ = 892158676420.

The previous prime is 981385441163. The next prime is 981385441219. The reversal of 981385441201 is 102144583189.

The square root of 981385441201 is 990649.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 981385441201 - 2²⁷ = 981251223473 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (981385441261) 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 in 8 ways as a sum of consecutive naturals, for example, 10852110 + ... + 10942168.

Almost surely, 2^981385441201 is an apocalyptic number.

981385441201 is the 990649-th square number.

981385441201 is the 495325-th centered octagonal number.

It is an amenable number.

981385441201 is a deficient number, since it is larger than the sum of its proper divisors (97339459752).

981385441201 is an frugal number, since it uses more digits than its factorization.

981385441201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180140 (or 90070 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 46.

The spelling of 981385441201 in words is "nine hundred eighty-one billion, three hundred eighty-five million, four hundred forty-one thousand, two hundred one".