5137874096009 has 2 divisors, whose sum is σ = 5137874096010. Its totient is φ = 5137874096008.

The previous prime is 5137874095979. The next prime is 5137874096083. The reversal of 5137874096009 is 9006904787315.

5137874096009 is digitally balanced in base 3, 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., 3108972979984 + 2028901116025 = 1763228^2 + 1424395^2 .

It is a cyclic number.

It is not a de Polignac number, because 5137874096009 - 2¹⁶ = 5137874030473 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (5137874090009) 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, 2568937048004 + 2568937048005.

It is an arithmetic number, because the mean of its divisors is an integer number (2568937048005).

Almost surely, 2^{5137874096009} is an apocalyptic number.

It is an amenable number.

5137874096009 is a deficient number, since it is larger than the sum of its proper divisors (1).

5137874096009 is an equidigital number, since it uses as much as digits as its factorization.

5137874096009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 11430720, while the sum is 59.

The spelling of 5137874096009 in words is "five trillion, one hundred thirty-seven billion, eight hundred seventy-four million, ninety-six thousand, nine".