1005565722841 has 27 divisors (see below), whose sum is σ = 1087118814717. Its totient is φ = 929937133440.

The previous prime is 1005565722829. The next prime is 1005565722857. The reversal of 1005565722841 is 1482275655001.

The square root of 1005565722841 is 1002779.

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

It can be written as a sum of positive squares in 4 ways, for example, as 92784206025 + 912781516816 = 304605^2 + 955396^2 .

It is not a de Polignac number, because 1005565722841 - 2⁵ = 1005565722809 is a prime.

It is a super-2 number, since 2×1005565722841² (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 = 1005565722791 and 1005565722800.

It is not an unprimeable number, because it can be changed into a prime (1005565722341) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1039881340 + ... + 1039882306.

Almost surely, 2^{1005565722841} is an apocalyptic number.

1005565722841 is the 1002779-th square number.

1005565722841 is the 501390-th centered octagonal number.

It is an amenable number.

1005565722841 is a deficient number, since it is larger than the sum of its proper divisors (81553091876).

1005565722841 is an frugal number, since it uses more digits than its factorization.

1005565722841 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2090 (or 1045 counting only the distinct ones).

The product of its (nonzero) digits is 672000, while the sum is 46.

The spelling of 1005565722841 in words is "one trillion, five billion, five hundred sixty-five million, seven hundred twenty-two thousand, eight hundred forty-one".