10935065126041 has 27 divisors (see below), whose sum is σ = 12761524131903. Its totient is φ = 9342695234880.

The previous prime is 10935065126009. The next prime is 10935065126057. The reversal of 10935065126041 is 14062156053901.

The square root of 10935065126041 is 3306821.

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., 1226257243225 + 9708807882816 = 1107365^2 + 3115896^2 .

It is not a de Polignac number, because 10935065126041 - 2⁵ = 10935065126009 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10935065123041) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 10022973906 + ... + 10022974996.

Almost surely, 2^{10935065126041} is an apocalyptic number.

10935065126041 is the 3306821-st square number.

10935065126041 is the 1653411-st centered octagonal number.

It is an amenable number.

10935065126041 is a deficient number, since it is larger than the sum of its proper divisors (1826459005862).

10935065126041 is an frugal number, since it uses more digits than its factorization.

10935065126041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3062 (or 1531 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 43.

The spelling of 10935065126041 in words is "ten trillion, nine hundred thirty-five billion, sixty-five million, one hundred twenty-six thousand, forty-one".