32730012630225 has 27 divisors (see below), whose sum is σ = 58623242993809. Its totient is φ = 17455960968000.

The previous prime is 32730012630157. The next prime is 32730012630229. The reversal of 32730012630225 is 52203621003723.

The square root of 32730012630225 is 5721015.

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

32730012630225 is a `hidden beast` number, since 3 + 2 + 7 + 3 + 0 + 0 + 12 + 630 + 2 + 2 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1837003440321 + 30893009189904 = 1355361^2 + 5558148^2 .

It is not a de Polignac number, because 32730012630225 - 2¹³ = 32730012622033 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 32730012630225.

It is not an unprimeable number, because it can be changed into a prime (32730012630229) 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 26 ways as a sum of consecutive naturals, for example, 85624525 + ... + 86005925.

Almost surely, 2^{32730012630225} is an apocalyptic number.

32730012630225 is the 5721015-th square number.

32730012630225 is the 2860508-th centered octagonal number.

It is an amenable number.

32730012630225 is a deficient number, since it is larger than the sum of its proper divisors (25893230363584).

32730012630225 is an frugal number, since it uses more digits than its factorization.

32730012630225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 762818 (or 381409 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 36.

Adding to 32730012630225 its reverse (52203621003723), we get a palindrome (84933633633948).

The spelling of 32730012630225 in words is "thirty-two trillion, seven hundred thirty billion, twelve million, six hundred thirty thousand, two hundred twenty-five".