10432648061521 has 27 divisors (see below), whose sum is σ = 12217886013339. Its totient is φ = 8882289391248.

The previous prime is 10432648061519. The next prime is 10432648061531. The reversal of 10432648061521 is 12516084623401.

The square root of 10432648061521 is 3229961.

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

It can be written as a sum of positive squares in only one way, i.e., 3057969177025 + 7374678884496 = 1748705^2 + 2715636^2 .

It is not a de Polignac number, because 10432648061521 - 2¹ = 10432648061519 is a prime.

It is a hoax number, since the sum of its digits (43) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10432648061531) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3549725670 + ... + 3549728608.

Almost surely, 2^{10432648061521} is an apocalyptic number.

10432648061521 is the 3229961-st square number.

10432648061521 is the 1614981-st centered octagonal number.

It is an amenable number.

10432648061521 is a deficient number, since it is larger than the sum of its proper divisors (1785237951818).

10432648061521 is an frugal number, since it uses more digits than its factorization.

10432648061521 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6206 (or 3103 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 43.

The spelling of 10432648061521 in words is "ten trillion, four hundred thirty-two billion, six hundred forty-eight million, sixty-one thousand, five hundred twenty-one".