5138056331 has 2 divisors, whose sum is σ = 5138056332. Its totient is φ = 5138056330.

The previous prime is 5138056321. The next prime is 5138056333. The reversal of 5138056331 is 1336508315.

5138056331 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 5138056331 - 2⁶ = 5138056267 is a prime.

It is a super-2 number, since 2×5138056331² = 52799245721058363122, which contains 22 as substring.

Together with 5138056333, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 5138056291 and 5138056300.

It is not a weakly prime, because it can be changed into another prime (5138056333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2569028165 + 2569028166.

It is an arithmetic number, because the mean of its divisors is an integer number (2569028166).

Almost surely, 2^5138056331 is an apocalyptic number.

5138056331 is a deficient number, since it is larger than the sum of its proper divisors (1).

5138056331 is an equidigital number, since it uses as much as digits as its factorization.

5138056331 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 32400, while the sum is 35.

The square root of 5138056331 is about 71680.2366834820. The cubic root of 5138056331 is about 1725.5714783419.

The spelling of 5138056331 in words is "five billion, one hundred thirty-eight million, fifty-six thousand, three hundred thirty-one".