57051257 has 2 divisors, whose sum is σ = 57051258. Its totient is φ = 57051256.

The previous prime is 57051221. The next prime is 57051263. The reversal of 57051257 is 75215075.

57051257 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., 56490256 + 561001 = 7516^2 + 749^2 .

It is a cyclic number.

It is not a de Polignac number, because 57051257 - 2²⁴ = 40274041 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (57051157) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 28525628 + 28525629.

It is an arithmetic number, because the mean of its divisors is an integer number (28525629).

Almost surely, 2^57051257 is an apocalyptic number.

It is an amenable number.

57051257 is a deficient number, since it is larger than the sum of its proper divisors (1).

57051257 is an equidigital number, since it uses as much as digits as its factorization.

57051257 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12250, while the sum is 32.

The square root of 57051257 is about 7553.2282502252. The cubic root of 57051257 is about 384.9654368252.

The spelling of 57051257 in words is "fifty-seven million, fifty-one thousand, two hundred fifty-seven".