57757541641 has 2 divisors, whose sum is σ = 57757541642. Its totient is φ = 57757541640.

The previous prime is 57757541623. The next prime is 57757541659. The reversal of 57757541641 is 14614575775.

It is a balanced prime because it is at equal distance from previous prime (57757541623) and next prime (57757541659).

It can be written as a sum of positive squares in only one way, i.e., 46130448400 + 11627093241 = 214780^2 + 107829^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-57757541641 is a prime.

It is not a weakly prime, because it can be changed into another prime (57757541671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 28878770820 + 28878770821.

It is an arithmetic number, because the mean of its divisors is an integer number (28878770821).

Almost surely, 2^57757541641 is an apocalyptic number.

It is an amenable number.

57757541641 is a deficient number, since it is larger than the sum of its proper divisors (1).

57757541641 is an equidigital number, since it uses as much as digits as its factorization.

57757541641 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 4116000, while the sum is 52.

The spelling of 57757541641 in words is "fifty-seven billion, seven hundred fifty-seven million, five hundred forty-one thousand, six hundred forty-one".