10983066593041 has 9 divisors (see below), whose sum is σ = 11257619190139. Its totient is φ = 10715054357200.

The previous prime is 10983066593029. The next prime is 10983066593053. The reversal of 10983066593041 is 14039566038901.

The square root of 10983066593041 is 3314071.

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

10983066593041 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10983066593029) and next prime (10983066593053).

It can be written as a sum of positive squares in only one way, i.e., 529225695441 + 10453840897600 = 727479^2 + 3233240^2 .

It is not a de Polignac number, because 10983066593041 - 2³¹ = 10980919109393 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10983066593011) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 135836496 + ... + 135917326.

Almost surely, 2^{10983066593041} is an apocalyptic number.

10983066593041 is the 3314071-st square number.

10983066593041 is the 1657036-th centered octagonal number.

It is an amenable number.

10983066593041 is a deficient number, since it is larger than the sum of its proper divisors (274552597098).

10983066593041 is an frugal number, since it uses more digits than its factorization.

10983066593041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161744 (or 80872 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 55.

The spelling of 10983066593041 in words is "ten trillion, nine hundred eighty-three billion, sixty-six million, five hundred ninety-three thousand, forty-one".