5137616626081 has 2 divisors, whose sum is σ = 5137616626082. Its totient is φ = 5137616626080.

The previous prime is 5137616626057. The next prime is 5137616626099. The reversal of 5137616626081 is 1806266167315.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 5046497166481 + 91119459600 = 2246441^2 + 301860^2 .

It is a cyclic number.

It is not a de Polignac number, because 5137616626081 - 2¹⁷ = 5137616495009 is a prime.

It is a super-2 number, since 2×5137616626081² (a number of 26 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (5137616626981) 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, 2568808313040 + 2568808313041.

It is an arithmetic number, because the mean of its divisors is an integer number (2568808313041).

Almost surely, 2^{5137616626081} is an apocalyptic number.

It is an amenable number.

5137616626081 is a deficient number, since it is larger than the sum of its proper divisors (1).

5137616626081 is an equidigital number, since it uses as much as digits as its factorization.

5137616626081 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2177280, while the sum is 52.

The spelling of 5137616626081 in words is "five trillion, one hundred thirty-seven billion, six hundred sixteen million, six hundred twenty-six thousand, eighty-one".