1082367656161 has 27 divisors (see below), whose sum is σ = 1197547516179. Its totient is φ = 977530712400.

The previous prime is 1082367656159. The next prime is 1082367656213. The reversal of 1082367656161 is 1616567632801.

The square root of 1082367656161 is 1040369.

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., 794449559761 + 287918096400 = 891319^2 + 536580^2 .

It is not a de Polignac number, because 1082367656161 - 2¹ = 1082367656159 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1082367656099 and 1082367656108.

It is not an unprimeable number, because it can be changed into a prime (1082367656131) 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, 3101339815 + ... + 3101340163.

Almost surely, 2^{1082367656161} is an apocalyptic number.

1082367656161 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1082367656161 is the 1040369-th square number.

1082367656161 is the 520185-th centered octagonal number.

It is an amenable number.

1082367656161 is a deficient number, since it is larger than the sum of its proper divisors (115179860018).

1082367656161 is an frugal number, since it uses more digits than its factorization.

1082367656161 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1262 (or 631 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 52.

The spelling of 1082367656161 in words is "one trillion, eighty-two billion, three hundred sixty-seven million, six hundred fifty-six thousand, one hundred sixty-one".