10137553205077 has 2 divisors, whose sum is σ = 10137553205078. Its totient is φ = 10137553205076.

The previous prime is 10137553205071. The next prime is 10137553205111. The reversal of 10137553205077 is 77050235573101.

10137553205077 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10083762144036 + 53791061041 = 3175494^2 + 231929^2 .

It is a cyclic number.

It is not a de Polignac number, because 10137553205077 - 2⁷ = 10137553204949 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10137553205071) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5068776602538 + 5068776602539.

It is an arithmetic number, because the mean of its divisors is an integer number (5068776602539).

Almost surely, 2^{10137553205077} is an apocalyptic number.

It is an amenable number.

10137553205077 is a deficient number, since it is larger than the sum of its proper divisors (1).

10137553205077 is an equidigital number, since it uses as much as digits as its factorization.

10137553205077 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 771750, while the sum is 46.

Adding to 10137553205077 its reverse (77050235573101), we get a palindrome (87187788778178).

The spelling of 10137553205077 in words is "ten trillion, one hundred thirty-seven billion, five hundred fifty-three million, two hundred five thousand, seventy-seven".