31031038443601 has 9 divisors (see below), whose sum is σ = 36097375794651. Its totient is φ = 26597999528352.

The previous prime is 31031038443583. The next prime is 31031038443607. The reversal of 31031038443601 is 10634483013013.

The square root of 31031038443601 is 5570551.

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., 7690776900625 + 23340261542976 = 2773225^2 + 4831176^2 .

It is not a de Polignac number, because 31031038443601 - 2⁹ = 31031038443089 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (31031038443607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 38595961 + ... + 39391753.

It is an arithmetic number, because the mean of its divisors is an integer number (4010819532739).

Almost surely, 2^{31031038443601} is an apocalyptic number.

31031038443601 is the 5570551-st square number.

31031038443601 is the 2785276-th centered octagonal number.

It is an amenable number.

31031038443601 is a deficient number, since it is larger than the sum of its proper divisors (5066337351050).

31031038443601 is an frugal number, since it uses more digits than its factorization.

31031038443601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1591600 (or 795800 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 37.

The spelling of 31031038443601 in words is "thirty-one trillion, thirty-one billion, thirty-eight million, four hundred forty-three thousand, six hundred one".