10332206640625 has 81 divisors (see below), whose sum is σ = 13369928213187. Its totient is φ = 7984507500000.

The previous prime is 10332206640521. The next prime is 10332206640629. The reversal of 10332206640625 is 52604660223301.

The square root of 10332206640625 is 3214375.

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 4013639607649 + 6318567032976 = 2003407^2 + 2513676^2 .

It is not a de Polignac number, because 10332206640625 - 2¹⁷ = 10332206509553 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10332206640629) 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, 74332421806 + ... + 74332421944.

Almost surely, 2^{10332206640625} is an apocalyptic number.

10332206640625 is the 3214375-th square number.

10332206640625 is the 1607188-th centered octagonal number.

It is an amenable number.

10332206640625 is a deficient number, since it is larger than the sum of its proper divisors (3037721572562).

10332206640625 is an frugal number, since it uses more digits than its factorization.

10332206640625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 40.

Adding to 10332206640625 its reverse (52604660223301), we get a palindrome (62936866863926).

The spelling of 10332206640625 in words is "ten trillion, three hundred thirty-two billion, two hundred six million, six hundred forty thousand, six hundred twenty-five".