10006437137 has 2 divisors, whose sum is σ = 10006437138. Its totient is φ = 10006437136.

The previous prime is 10006437101. The next prime is 10006437143. The reversal of 10006437137 is 73173460001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8961272896 + 1045164241 = 94664^2 + 32329^2 .

It is an emirp because it is prime and its reverse (73173460001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10006437137 - 2²⁴ = 9989659921 is a prime.

It is not a weakly prime, because it can be changed into another prime (10006437197) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5003218568 + 5003218569.

It is an arithmetic number, because the mean of its divisors is an integer number (5003218569).

Almost surely, 2^10006437137 is an apocalyptic number.

It is an amenable number.

10006437137 is a deficient number, since it is larger than the sum of its proper divisors (1).

10006437137 is an equidigital number, since it uses as much as digits as its factorization.

10006437137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10584, while the sum is 32.

Adding to 10006437137 its reverse (73173460001), we get a palindrome (83179897138).

The spelling of 10006437137 in words is "ten billion, six million, four hundred thirty-seven thousand, one hundred thirty-seven".