10189125745681 has 3 divisors (see below), whose sum is σ = 10189128937723. Its totient is φ = 10189122553640.

The previous prime is 10189125745679. The next prime is 10189125745723. The reversal of 10189125745681 is 18654752198101.

It is a happy number.

The square root of 10189125745681 is 3192041.

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., 497858659281 + 9691267086400 = 705591^2 + 3113080^2 .

It is not a de Polignac number, because 10189125745681 - 2¹ = 10189125745679 is a prime.

It is a super-2 number, since 2×10189125745681² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10189125742681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 1596021 + ... + 4788061.

Almost surely, 2^{10189125745681} is an apocalyptic number.

10189125745681 is the 3192041-st square number.

10189125745681 is the 1596021-st centered octagonal number.

It is an amenable number.

10189125745681 is a deficient number, since it is larger than the sum of its proper divisors (3192042).

10189125745681 is an frugal number, since it uses more digits than its factorization.

10189125745681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6384082 (or 3192041 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 58.

The spelling of 10189125745681 in words is "ten trillion, one hundred eighty-nine billion, one hundred twenty-five million, seven hundred forty-five thousand, six hundred eighty-one".