1808032526161 has 9 divisors (see below), whose sum is σ = 1817710012251. Its totient is φ = 1798406312832.

The previous prime is 1808032526147. The next prime is 1808032526173. The reversal of 1808032526161 is 1616252308081.

The square root of 1808032526161 is 1344631.

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., 438065278225 + 1369967247936 = 661865^2 + 1170456^2 .

It is not a de Polignac number, because 1808032526161 - 2¹⁷ = 1808032395089 is a prime.

It is a super-2 number, since 2×1808032526161² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1808032526101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 259510300 + ... + 259517266.

It is an arithmetic number, because the mean of its divisors is an integer number (201967779139).

Almost surely, 2^{1808032526161} is an apocalyptic number.

1808032526161 is the 1344631-st square number.

1808032526161 is the 672316-th centered octagonal number.

It is an amenable number.

1808032526161 is a deficient number, since it is larger than the sum of its proper divisors (9677486090).

1808032526161 is an frugal number, since it uses more digits than its factorization.

1808032526161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14320 (or 7160 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 43.

The spelling of 1808032526161 in words is "one trillion, eight hundred eight billion, thirty-two million, five hundred twenty-six thousand, one hundred sixty-one".