57895041601 has 2 divisors, whose sum is σ = 57895041602. Its totient is φ = 57895041600.

The previous prime is 57895041599. The next prime is 57895041647. The reversal of 57895041601 is 10614059875.

It is an a-pointer prime, because the next prime (57895041647) can be obtained adding 57895041601 to its sum of digits (46).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 57054099600 + 840942001 = 238860^2 + 28999^2 .

It is a cyclic number.

It is not a de Polignac number, because 57895041601 - 2¹ = 57895041599 is a prime.

Together with 57895041599, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (57895041661) 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, 28947520800 + 28947520801.

It is an arithmetic number, because the mean of its divisors is an integer number (28947520801).

Almost surely, 2^57895041601 is an apocalyptic number.

It is an amenable number.

57895041601 is a deficient number, since it is larger than the sum of its proper divisors (1).

57895041601 is an equidigital number, since it uses as much as digits as its factorization.

57895041601 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 302400, while the sum is 46.

The spelling of 57895041601 in words is "fifty-seven billion, eight hundred ninety-five million, forty-one thousand, six hundred one".