57555041 has 2 divisors, whose sum is σ = 57555042. Its totient is φ = 57555040.

The previous prime is 57555011. The next prime is 57555049. The reversal of 57555041 is 14055575.

57555041 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., 54982225 + 2572816 = 7415^2 + 1604^2 .

It is a cyclic number.

It is not a de Polignac number, because 57555041 - 2⁶ = 57554977 is a prime.

It is equal to p_3425567 and since 57555041 and 3425567 have the same sum of digits, it is a Honaker prime.

It is a junction number, because it is equal to n+sod(n) for n = 57554989 and 57555007.

It is not a weakly prime, because it can be changed into another prime (57555049) 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, 28777520 + 28777521.

It is an arithmetic number, because the mean of its divisors is an integer number (28777521).

Almost surely, 2^57555041 is an apocalyptic number.

It is an amenable number.

57555041 is a deficient number, since it is larger than the sum of its proper divisors (1).

57555041 is an equidigital number, since it uses as much as digits as its factorization.

57555041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 17500, while the sum is 32.

The square root of 57555041 is about 7586.5038720085. The cubic root of 57555041 is about 386.0952475092.

The spelling of 57555041 in words is "fifty-seven million, five hundred fifty-five thousand, forty-one".