5005127 has 2 divisors, whose sum is σ = 5005128. Its totient is φ = 5005126.

The previous prime is 5005087. The next prime is 5005129. The reversal of 5005127 is 7215005.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 5005127 - 2⁸ = 5004871 is a prime.

It is a super-2 number, since 2×5005127² = 50102592572258, which contains 22 as substring.

Together with 5005129, 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 = 5005099 and 5005108.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (5005129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2502563 + 2502564.

It is an arithmetic number, because the mean of its divisors is an integer number (2502564).

Almost surely, 2^5005127 is an apocalyptic number.

5005127 is a deficient number, since it is larger than the sum of its proper divisors (1).

5005127 is an equidigital number, since it uses as much as digits as its factorization.

5005127 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 350, while the sum is 20.

The square root of 5005127 is about 2237.2141158146. The cubic root of 5005127 is about 171.0560216797.

The spelling of 5005127 in words is "five million, five thousand, one hundred twenty-seven".