51005849 has 2 divisors, whose sum is σ = 51005850. Its totient is φ = 51005848.

The previous prime is 51005813. The next prime is 51005863. The reversal of 51005849 is 94850015.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 45091225 + 5914624 = 6715^2 + 2432^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-51005849 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (51005879) 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, 25502924 + 25502925.

It is an arithmetic number, because the mean of its divisors is an integer number (25502925).

Almost surely, 2^51005849 is an apocalyptic number.

It is an amenable number.

51005849 is a deficient number, since it is larger than the sum of its proper divisors (1).

51005849 is an equidigital number, since it uses as much as digits as its factorization.

51005849 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7200, while the sum is 32.

The square root of 51005849 is about 7141.8379287127. The cubic root of 51005849 is about 370.8571532512.

The spelling of 51005849 in words is "fifty-one million, five thousand, eight hundred forty-nine".