51564361 has 2 divisors, whose sum is σ = 51564362. Its totient is φ = 51564360.

The previous prime is 51564323. The next prime is 51564371. The reversal of 51564361 is 16346515.

51564361 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., 45158400 + 6405961 = 6720^2 + 2531^2 .

It is a cyclic number.

It is not a de Polignac number, because 51564361 - 2¹⁵ = 51531593 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (51564301) 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, 25782180 + 25782181.

It is an arithmetic number, because the mean of its divisors is an integer number (25782181).

Almost surely, 2^51564361 is an apocalyptic number.

It is an amenable number.

51564361 is a deficient number, since it is larger than the sum of its proper divisors (1).

51564361 is an equidigital number, since it uses as much as digits as its factorization.

51564361 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 10800, while the sum is 31.

The square root of 51564361 is about 7180.8328904104. The cubic root of 51564361 is about 372.2058660305.

The spelling of 51564361 in words is "fifty-one million, five hundred sixty-four thousand, three hundred sixty-one".