6772257257 has 2 divisors, whose sum is σ = 6772257258. Its totient is φ = 6772257256.

The previous prime is 6772257227. The next prime is 6772257281. The reversal of 6772257257 is 7527522776.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6746815321 + 25441936 = 82139^2 + 5044^2 .

It is a cyclic number.

It is not a de Polignac number, because 6772257257 - 2¹⁶ = 6772191721 is a prime.

It is not a weakly prime, because it can be changed into another prime (6772257227) 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, 3386128628 + 3386128629.

It is an arithmetic number, because the mean of its divisors is an integer number (3386128629).

Almost surely, 2^6772257257 is an apocalyptic number.

It is an amenable number.

6772257257 is a deficient number, since it is larger than the sum of its proper divisors (1).

6772257257 is an equidigital number, since it uses as much as digits as its factorization.

6772257257 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2881200, while the sum is 50.

The square root of 6772257257 is about 82293.7255020090. The cubic root of 6772257257 is about 1891.9565097231.

The spelling of 6772257257 in words is "six billion, seven hundred seventy-two million, two hundred fifty-seven thousand, two hundred fifty-seven".