51106819 has 2 divisors, whose sum is σ = 51106820. Its totient is φ = 51106818.

The previous prime is 51106807. The next prime is 51106823. The reversal of 51106819 is 91860115.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 51106819 - 2⁷ = 51106691 is a prime.

It is a super-2 number, since 2×51106819² = 5223813896597522, which contains 22 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (51106829) 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, 25553409 + 25553410.

It is an arithmetic number, because the mean of its divisors is an integer number (25553410).

Almost surely, 2^51106819 is an apocalyptic number.

51106819 is a deficient number, since it is larger than the sum of its proper divisors (1).

51106819 is an equidigital number, since it uses as much as digits as its factorization.

51106819 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2160, while the sum is 31.

The square root of 51106819 is about 7148.9033424715. The cubic root of 51106819 is about 371.1017053690.

It can be divided in two parts, 51106 and 819, that multiplied together give a palindrome (41855814).

The spelling of 51106819 in words is "fifty-one million, one hundred six thousand, eight hundred nineteen".