51505273 has 2 divisors, whose sum is σ = 51505274. Its totient is φ = 51505272.

The previous prime is 51505213. The next prime is 51505297. The reversal of 51505273 is 37250515.

51505273 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 can be written as a sum of positive squares in only one way, i.e., 49112064 + 2393209 = 7008^2 + 1547^2 .

It is a cyclic number.

It is not a de Polignac number, because 51505273 - 2¹⁷ = 51374201 is a prime.

It is equal to p_3085921 and since 51505273 and 3085921 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (51505213) 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, 25752636 + 25752637.

It is an arithmetic number, because the mean of its divisors is an integer number (25752637).

Almost surely, 2^51505273 is an apocalyptic number.

It is an amenable number.

51505273 is a deficient number, since it is larger than the sum of its proper divisors (1).

51505273 is an equidigital number, since it uses as much as digits as its factorization.

51505273 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5250, while the sum is 28.

The square root of 51505273 is about 7176.7174251185. The cubic root of 51505273 is about 372.0636404975.

Adding to 51505273 its reverse (37250515), we get a palindrome (88755788).

The spelling of 51505273 in words is "fifty-one million, five hundred five thousand, two hundred seventy-three".