557057 has 2 divisors, whose sum is σ = 557058. Its totient is φ = 557056.

The previous prime is 557041. The next prime is 557059. The reversal of 557057 is 750755.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 295936 + 261121 = 544^2 + 511^2 .

It is a cyclic number.

It is not a de Polignac number, because 557057 - 2⁴ = 557041 is a prime.

Together with 557059, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (557059) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 278528 + 278529.

It is an arithmetic number, because the mean of its divisors is an integer number (278529).

It is a Proth number, since it is equal to 17 ⋅ 2¹⁵ + 1 and 17 < 2¹⁵.

2⁵⁵⁷⁰⁵⁷ is an apocalyptic number.

It is an amenable number.

557057 is a deficient number, since it is larger than the sum of its proper divisors (1).

557057 is an equidigital number, since it uses as much as digits as its factorization.

557057 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6125, while the sum is 29.

The square root of 557057 is about 746.3625124562. The cubic root of 557057 is about 82.2810601367.

The spelling of 557057 in words is "five hundred fifty-seven thousand, fifty-seven".