82056331665025 has 27 divisors (see below), whose sum is σ = 103708916513769. Its totient is φ = 64404595026720.

The previous prime is 82056331664947. The next prime is 82056331665037. The reversal of 82056331665025 is 52056613365028.

The square root of 82056331665025 is 9058495.

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

It can be written as a sum of positive squares in 4 ways, for example, as 618124591681 + 81438207073344 = 786209^2 + 9024312^2 .

It is not a de Polignac number, because 82056331665025 - 2¹⁹ = 82056331140737 is a prime.

It is a Duffinian number.

It is an unprimeable number.

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 26 ways as a sum of consecutive naturals, for example, 2400484084 + ... + 2400518266.

Almost surely, 2^{82056331665025} is an apocalyptic number.

82056331665025 is the 9058495-th square number.

82056331665025 is the 4529248-th centered octagonal number.

It is an amenable number.

82056331665025 is a deficient number, since it is larger than the sum of its proper divisors (21652584848744).

82056331665025 is an frugal number, since it uses more digits than its factorization.

82056331665025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68482 (or 34241 counting only the distinct ones).

The product of its (nonzero) digits is 7776000, while the sum is 52.

The spelling of 82056331665025 in words is "eighty-two trillion, fifty-six billion, three hundred thirty-one million, six hundred sixty-five thousand, twenty-five".