985213071241 has 81 divisors (see below), whose sum is σ = 1287827373159. Its totient is φ = 751247312256.

The previous prime is 985213071209. The next prime is 985213071251. The reversal of 985213071241 is 142170312589.

The square root of 985213071241 is 992579.

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

It can be written as a sum of positive squares in only one way, i.e., 767034398025 + 218178673216 = 875805^2 + 467096^2 .

It is not a de Polignac number, because 985213071241 - 2⁵ = 985213071209 is a prime.

It is not an unprimeable number, because it can be changed into a prime (985213071251) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 2244220900 + ... + 2244221338.

Almost surely, 2^985213071241 is an apocalyptic number.

985213071241 is the 992579-th square number.

985213071241 is the 496290-th centered octagonal number.

It is an amenable number.

985213071241 is a deficient number, since it is larger than the sum of its proper divisors (302614301918).

985213071241 is an equidigital number, since it uses as much as digits as its factorization.

985213071241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 964 (or 482 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 43.

The spelling of 985213071241 in words is "nine hundred eighty-five billion, two hundred thirteen million, seventy-one thousand, two hundred forty-one".