82389296691025 has 81 divisors (see below), whose sum is σ = 107732332219603. Its totient is φ = 62501045084800.

The previous prime is 82389296690999. The next prime is 82389296691043. The reversal of 82389296691025 is 52019669298328.

It is a happy number.

The square root of 82389296691025 is 9076855.

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

It can be written as a sum of positive squares in 13 ways, for example, as 37590423996609 + 44798872694416 = 6131103^2 + 6693196^2 .

It is not a de Polignac number, because 82389296691025 - 2²⁹ = 82388759820113 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 (23) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 77652493995 + ... + 77652495055.

Almost surely, 2^{82389296691025} is an apocalyptic number.

82389296691025 is the 9076855-th square number.

82389296691025 is the 4538428-th centered octagonal number.

It is an amenable number.

82389296691025 is a deficient number, since it is larger than the sum of its proper divisors (25343035528578).

82389296691025 is an frugal number, since it uses more digits than its factorization.

82389296691025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2308 (or 1154 counting only the distinct ones).

The product of its (nonzero) digits is 201553920, while the sum is 70.

The spelling of 82389296691025 in words is "eighty-two trillion, three hundred eighty-nine billion, two hundred ninety-six million, six hundred ninety-one thousand, twenty-five".