1005666003241 has 9 divisors (see below), whose sum is σ = 1015823986213. Its totient is φ = 995608631200.

The previous prime is 1005666003239. The next prime is 1005666003259. The reversal of 1005666003241 is 1423006665001.

The square root of 1005666003241 is 1002829.

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

1005666003241 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 73321266841 + 932344736400 = 270779^2 + 965580^2 .

It is not a de Polignac number, because 1005666003241 - 2¹ = 1005666003239 is a prime.

It is a super-2 number, since 2×1005666003241² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1005666003197 and 1005666003206.

It is not an unprimeable number, because it can be changed into a prime (1005666003281) 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, 101280765 + ... + 101290693.

Almost surely, 2^{1005666003241} is an apocalyptic number.

1005666003241 is the 1002829-th square number.

1005666003241 is the 501415-th centered octagonal number.

It is an amenable number.

1005666003241 is a deficient number, since it is larger than the sum of its proper divisors (10157982972).

1005666003241 is an frugal number, since it uses more digits than its factorization.

1005666003241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20060 (or 10030 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 34.

The spelling of 1005666003241 in words is "one trillion, five billion, six hundred sixty-six million, three thousand, two hundred forty-one".