10540035302497 has 2 divisors, whose sum is σ = 10540035302498. Its totient is φ = 10540035302496.

The previous prime is 10540035302443. The next prime is 10540035302627. The reversal of 10540035302497 is 79420353004501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10479955900176 + 60079402321 = 3237276^2 + 245111^2 .

It is a cyclic number.

It is not a de Polignac number, because 10540035302497 - 2⁷ = 10540035302369 is a prime.

It is a super-2 number, since 2×10540035302497² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10540035302417) 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 as a sum of consecutive naturals, namely, 5270017651248 + 5270017651249.

It is an arithmetic number, because the mean of its divisors is an integer number (5270017651249).

Almost surely, 2^{10540035302497} is an apocalyptic number.

It is an amenable number.

10540035302497 is a deficient number, since it is larger than the sum of its proper divisors (1).

10540035302497 is an equidigital number, since it uses as much as digits as its factorization.

10540035302497 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 453600, while the sum is 43.

Adding to 10540035302497 its reverse (79420353004501), we get a palindrome (89960388306998).

The spelling of 10540035302497 in words is "ten trillion, five hundred forty billion, thirty-five million, three hundred two thousand, four hundred ninety-seven".