51506569 has 2 divisors, whose sum is σ = 51506570. Its totient is φ = 51506568.

The previous prime is 51506503. The next prime is 51506621. The reversal of 51506569 is 96560515.

51506569 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., 26904969 + 24601600 = 5187^2 + 4960^2 .

It is a cyclic number.

It is not a de Polignac number, because 51506569 - 2⁹ = 51506057 is a prime.

It is a super-2 number, since 2×51506569² = 5305853300303522, which contains 22 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (51506369) 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, 25753284 + 25753285.

It is an arithmetic number, because the mean of its divisors is an integer number (25753285).

Almost surely, 2^51506569 is an apocalyptic number.

It is an amenable number.

51506569 is a deficient number, since it is larger than the sum of its proper divisors (1).

51506569 is an equidigital number, since it uses as much as digits as its factorization.

51506569 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 40500, while the sum is 37.

The square root of 51506569 is about 7176.8077165269. The cubic root of 51506569 is about 372.0667611517.

The spelling of 51506569 in words is "fifty-one million, five hundred six thousand, five hundred sixty-nine".