641576970225 has 81 divisors (see below), whose sum is σ = 1168008411297. Its totient is φ = 336644383680.

The previous prime is 641576970179. The next prime is 641576970227. The reversal of 641576970225 is 522079675146.

It is a happy number.

The square root of 641576970225 is 800985.

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

641576970225 is a `hidden beast` number, since 6 + 41 + 576 + 9 + 7 + 0 + 2 + 25 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 15680799729 + 625896170496 = 125223^2 + 791136^2 .

It is not a de Polignac number, because 641576970225 - 2²⁷ = 641442752497 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (641576970227) by changing a digit.

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, 804989527 + ... + 804990323.

Almost surely, 2^641576970225 is an apocalyptic number.

641576970225 is the 800985-th square number.

641576970225 is the 400493-rd centered octagonal number.

It is an amenable number.

641576970225 is a deficient number, since it is larger than the sum of its proper divisors (526431441072).

641576970225 is an frugal number, since it uses more digits than its factorization.

641576970225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1744 (or 872 counting only the distinct ones).

The product of its (nonzero) digits is 6350400, while the sum is 54.

The spelling of 641576970225 in words is "six hundred forty-one billion, five hundred seventy-six million, nine hundred seventy thousand, two hundred twenty-five".