82554877441 has 8 divisors (see below), whose sum is σ = 84124996200. Its totient is φ = 80985220992.

The previous prime is 82554877423. The next prime is 82554877451. The reversal of 82554877441 is 14477845528.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 60917644225 + 21637233216 = 246815^2 + 147096^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 82554877441 - 2¹³ = 82554869249 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (82554877451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 256221 + ... + 480373.

It is an arithmetic number, because the mean of its divisors is an integer number (10515624525).

Almost surely, 2^82554877441 is an apocalyptic number.

It is an amenable number.

82554877441 is a deficient number, since it is larger than the sum of its proper divisors (1570118759).

82554877441 is a wasteful number, since it uses less digits than its factorization.

82554877441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231155.

The product of its digits is 10035200, while the sum is 55.

The spelling of 82554877441 in words is "eighty-two billion, five hundred fifty-four million, eight hundred seventy-seven thousand, four hundred forty-one".