82180262241 has 243 divisors, whose sum is σ = 163471930713. Its totient is φ = 39629399040.

The previous prime is 82180262239. The next prime is 82180262251. The reversal of 82180262241 is 14226208128.

The square root of 82180262241 is 286671.

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

82180262241 is a `hidden beast` number, since 8 + 21 + 8 + 0 + 2 + 622 + 4 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 10377700641 + 71802561600 = 101871^2 + 267960^2 .

It is not a de Polignac number, because 82180262241 - 2¹ = 82180262239 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 82180262196 and 82180262205.

It is not an unprimeable number, because it can be changed into a prime (82180262201) by changing a digit.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 1125756981 + ... + 1125757053.

Almost surely, 2^82180262241 is an apocalyptic number.

82180262241 is the 286671-st square number.

82180262241 is the 143336-th centered octagonal number.

It is an amenable number.

82180262241 is a deficient number, since it is larger than the sum of its proper divisors (81291668472).

82180262241 is a wasteful number, since it uses less digits than its factorization.

82180262241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

Multiplying 82180262241 by its sum of digits (36), we get a square (2958489440676 = 1720026²).

The spelling of 82180262241 in words is "eighty-two billion, one hundred eighty million, two hundred sixty-two thousand, two hundred forty-one".