10140056263217 has 2 divisors, whose sum is σ = 10140056263218. Its totient is φ = 10140056263216.

The previous prime is 10140056263121. The next prime is 10140056263223. The reversal of 10140056263217 is 71236265004101.

10140056263217 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10082396727841 + 57659535376 = 3175279^2 + 240124^2 .

It is a cyclic number.

It is not a de Polignac number, because 10140056263217 - 2²⁴ = 10140039486001 is a prime.

It is not a weakly prime, because it can be changed into another prime (10140056263237) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5070028131608 + 5070028131609.

It is an arithmetic number, because the mean of its divisors is an integer number (5070028131609).

Almost surely, 2^{10140056263217} is an apocalyptic number.

It is an amenable number.

10140056263217 is a deficient number, since it is larger than the sum of its proper divisors (1).

10140056263217 is an equidigital number, since it uses as much as digits as its factorization.

10140056263217 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 60480, while the sum is 38.

The spelling of 10140056263217 in words is "ten trillion, one hundred forty billion, fifty-six million, two hundred sixty-three thousand, two hundred seventeen".