10540035277 has 2 divisors, whose sum is σ = 10540035278. Its totient is φ = 10540035276.

The previous prime is 10540035227. The next prime is 10540035287. The reversal of 10540035277 is 77253004501.

10540035277 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., 10279729321 + 260305956 = 101389^2 + 16134^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10540035277 is a prime.

It is a super-2 number, since 2×10540035277² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10540035227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5270017638 + 5270017639.

It is an arithmetic number, because the mean of its divisors is an integer number (5270017639).

Almost surely, 2^10540035277 is an apocalyptic number.

It is an amenable number.

10540035277 is a deficient number, since it is larger than the sum of its proper divisors (1).

10540035277 is an equidigital number, since it uses as much as digits as its factorization.

10540035277 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 29400, while the sum is 34.

Adding to 10540035277 its reverse (77253004501), we get a palindrome (87793039778).

The spelling of 10540035277 in words is "ten billion, five hundred forty million, thirty-five thousand, two hundred seventy-seven".