80241326361 has 135 divisors (see below), whose sum is σ = 141603274943. Its totient is φ = 43782056640.

The previous prime is 80241326327. The next prime is 80241326387. The reversal of 80241326361 is 16362314208.

The square root of 80241326361 is 283269.

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

80241326361 is a `hidden beast` number, since 8 + 0 + 2 + 4 + 13 + 2 + 636 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3866476761 + 76374849600 = 62181^2 + 276360^2 .

It is not a de Polignac number, because 80241326361 - 2¹⁷ = 80241195289 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (80241326461) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 1707262240 + ... + 1707262286.

Almost surely, 2^80241326361 is an apocalyptic number.

80241326361 is the 283269-th square number.

80241326361 is the 141635-th centered octagonal number.

It is an amenable number.

80241326361 is a deficient number, since it is larger than the sum of its proper divisors (61361948582).

80241326361 is an frugal number, since it uses more digits than its factorization.

80241326361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

Multiplying 80241326361 by its sum of digits (36), we get a square (2888687748996 = 1699614²).

The spelling of 80241326361 in words is "eighty billion, two hundred forty-one million, three hundred twenty-six thousand, three hundred sixty-one".