506188769 has 2 divisors, whose sum is σ = 506188770. Its totient is φ = 506188768.

The previous prime is 506188759. The next prime is 506188817. The reversal of 506188769 is 967881605.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 268566544 + 237622225 = 16388^2 + 15415^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-506188769 is a prime.

It is a super-3 number, since 3×506188769³ (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (506188729) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 253094384 + 253094385.

It is an arithmetic number, because the mean of its divisors is an integer number (253094385).

Almost surely, 2^506188769 is an apocalyptic number.

It is an amenable number.

506188769 is a deficient number, since it is larger than the sum of its proper divisors (1).

506188769 is an equidigital number, since it uses as much as digits as its factorization.

506188769 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 725760, while the sum is 50.

The square root of 506188769 is about 22498.6392699648. The cubic root of 506188769 is about 796.9617934201.

The spelling of 506188769 in words is "five hundred six million, one hundred eighty-eight thousand, seven hundred sixty-nine".