10065739749025 has 9 divisors (see below), whose sum is σ = 12481536959283. Its totient is φ = 8052579108600.

The previous prime is 10065739748983. The next prime is 10065739749029. The reversal of 10065739749025 is 52094793756001.

It is a happy number.

The square root of 10065739749025 is 3172655.

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., 3623666309649 + 6442073439376 = 1903593^2 + 2538124^2 .

It is not a de Polignac number, because 10065739749025 - 2²¹ = 10065737651873 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10065739749029) 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 8 ways as a sum of consecutive naturals, for example, 15546010 + ... + 16180540.

Almost surely, 2^{10065739749025} is an apocalyptic number.

10065739749025 is the 3172655-th square number.

10065739749025 is the 1586328-th centered octagonal number.

It is an amenable number.

10065739749025 is a deficient number, since it is larger than the sum of its proper divisors (2415797210258).

10065739749025 is an frugal number, since it uses more digits than its factorization.

10065739749025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1269072 (or 634536 counting only the distinct ones).

The product of its (nonzero) digits is 14288400, while the sum is 58.

The spelling of 10065739749025 in words is "ten trillion, sixty-five billion, seven hundred thirty-nine million, seven hundred forty-nine thousand, twenty-five".