51182627 has 2 divisors, whose sum is σ = 51182628. Its totient is φ = 51182626.

The previous prime is 51182609. The next prime is 51182633. The reversal of 51182627 is 72628115.

51182627 is digitally balanced in base 2, 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 a de Polignac number, because none of the positive numbers 2^k-51182627 is a prime.

It is a super-2 number, since 2×51182627² = 5239322613242258, which contains 22 as substring.

It is a Chen prime.

It is equal to p_3067718 and since 51182627 and 3067718 have the same sum of digits, it is a Honaker prime.

It is a junction number, because it is equal to n+sod(n) for n = 51182593 and 51182602.

It is not a weakly prime, because it can be changed into another prime (51182647) 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, 25591313 + 25591314.

It is an arithmetic number, because the mean of its divisors is an integer number (25591314).

Almost surely, 2^51182627 is an apocalyptic number.

51182627 is a deficient number, since it is larger than the sum of its proper divisors (1).

51182627 is an equidigital number, since it uses as much as digits as its factorization.

51182627 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 6720, while the sum is 32.

The square root of 51182627 is about 7154.2034497210. The cubic root of 51182627 is about 371.2851028113.

It can be divided in two parts, 511 and 82627, that added together give a palindrome (83138).

The spelling of 51182627 in words is "fifty-one million, one hundred eighty-two thousand, six hundred twenty-seven".