10016724936241 has 3 divisors (see below), whose sum is σ = 10016728101163. Its totient is φ = 10016721771320.

The previous prime is 10016724936193. The next prime is 10016724936269. The reversal of 10016724936241 is 14263942761001.

The square root of 10016724936241 is 3164921.

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

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in only one way, i.e., 3552927176241 + 6463797760000 = 1884921^2 + 2542400^2 .

It is not a de Polignac number, because 10016724936241 - 2¹¹ = 10016724934193 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10016724936191 and 10016724936200.

It is not an unprimeable number, because it can be changed into a prime (10016724930241) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 1582461 + ... + 4747381.

Almost surely, 2^{10016724936241} is an apocalyptic number.

10016724936241 is the 3164921-st square number.

10016724936241 is the 1582461-st centered octagonal number.

It is an amenable number.

10016724936241 is a deficient number, since it is larger than the sum of its proper divisors (3164922).

10016724936241 is an frugal number, since it uses more digits than its factorization.

10016724936241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6329842 (or 3164921 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 46.

The spelling of 10016724936241 in words is "ten trillion, sixteen billion, seven hundred twenty-four million, nine hundred thirty-six thousand, two hundred forty-one".