57641057 has 2 divisors, whose sum is σ = 57641058. Its totient is φ = 57641056.

The previous prime is 57641029. The next prime is 57641063. The reversal of 57641057 is 75014675.

57641057 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., 34562641 + 23078416 = 5879^2 + 4804^2 .

It is a cyclic number.

It is not a de Polignac number, because 57641057 - 2⁶ = 57640993 is a prime.

It is not a weakly prime, because it can be changed into another prime (57641557) 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, 28820528 + 28820529.

It is an arithmetic number, because the mean of its divisors is an integer number (28820529).

Almost surely, 2^57641057 is an apocalyptic number.

It is an amenable number.

57641057 is a deficient number, since it is larger than the sum of its proper divisors (1).

57641057 is an equidigital number, since it uses as much as digits as its factorization.

57641057 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 29400, while the sum is 35.

The square root of 57641057 is about 7592.1707699445. The cubic root of 57641057 is about 386.2874915343.

The spelling of 57641057 in words is "fifty-seven million, six hundred forty-one thousand, fifty-seven".