677075257 has 2 divisors, whose sum is σ = 677075258. Its totient is φ = 677075256.

The previous prime is 677075213. The next prime is 677075297. The reversal of 677075257 is 752570776.

677075257 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., 516698361 + 160376896 = 22731^2 + 12664^2 .

It is a cyclic number.

It is not a de Polignac number, because 677075257 - 2¹⁹ = 676550969 is a prime.

It is not a weakly prime, because it can be changed into another prime (677075297) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 338537628 + 338537629.

It is an arithmetic number, because the mean of its divisors is an integer number (338537629).

Almost surely, 2^677075257 is an apocalyptic number.

It is an amenable number.

677075257 is a deficient number, since it is larger than the sum of its proper divisors (1).

677075257 is an equidigital number, since it uses as much as digits as its factorization.

677075257 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 720300, while the sum is 46.

The square root of 677075257 is about 26020.6698030623. The cubic root of 677075257 is about 878.1033777885.

The spelling of 677075257 in words is "six hundred seventy-seven million, seventy-five thousand, two hundred fifty-seven".