257107057 has 2 divisors, whose sum is σ = 257107058. Its totient is φ = 257107056.

The previous prime is 257107051. The next prime is 257107063. The reversal of 257107057 is 750701752.

257107057 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a balanced prime because it is at equal distance from previous prime (257107051) and next prime (257107063).

It can be written as a sum of positive squares in only one way, i.e., 175403536 + 81703521 = 13244^2 + 9039^2 .

It is a cyclic number.

It is not a de Polignac number, because 257107057 - 2²⁷ = 122889329 is a prime.

It is a super-2 number, since 2×257107057² = 132208077518402498, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (257107051) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 128553528 + 128553529.

It is an arithmetic number, because the mean of its divisors is an integer number (128553529).

Almost surely, 2^257107057 is an apocalyptic number.

It is an amenable number.

257107057 is a deficient number, since it is larger than the sum of its proper divisors (1).

257107057 is an equidigital number, since it uses as much as digits as its factorization.

257107057 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 17150, while the sum is 34.

The square root of 257107057 is about 16034.5582103156. The cubic root of 257107057 is about 635.8743876303.

The spelling of 257107057 in words is "two hundred fifty-seven million, one hundred seven thousand, fifty-seven".