81579462658225 has 27 divisors (see below), whose sum is σ = 117674668662561. Its totient is φ = 55939986194400.

The previous prime is 81579462658171. The next prime is 81579462658231. The reversal of 81579462658225 is 52285626497518.

The square root of 81579462658225 is 9032135.

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 16476382110321 + 65103080547904 = 4059111^2 + 8068648^2 .

It is not a de Polignac number, because 81579462658225 - 2¹⁵ = 81579462625457 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 (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 315995695 + ... + 316253755.

Almost surely, 2^{81579462658225} is an apocalyptic number.

81579462658225 is the 9032135-th square number.

81579462658225 is the 4516068-th centered octagonal number.

It is an amenable number.

81579462658225 is a deficient number, since it is larger than the sum of its proper divisors (36095206004336).

81579462658225 is an frugal number, since it uses more digits than its factorization.

81579462658225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 516146 (or 258073 counting only the distinct ones).

The product of its digits is 580608000, while the sum is 70.

The spelling of 81579462658225 in words is "eighty-one trillion, five hundred seventy-nine billion, four hundred sixty-two million, six hundred fifty-eight thousand, two hundred twenty-five".