57582264354193 has 2 divisors, whose sum is σ = 57582264354194. Its totient is φ = 57582264354192.

The previous prime is 57582264354157. The next prime is 57582264354221. The reversal of 57582264354193 is 39145346228575.

57582264354193 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., 34423003220544 + 23159261133649 = 5867112^2 + 4812407^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-57582264354193 is a prime.

It is not a weakly prime, because it can be changed into another prime (57582264354113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 28791132177096 + 28791132177097.

It is an arithmetic number, because the mean of its divisors is an integer number (28791132177097).

Almost surely, 2^{57582264354193} is an apocalyptic number.

It is an amenable number.

57582264354193 is a deficient number, since it is larger than the sum of its proper divisors (1).

57582264354193 is an equidigital number, since it uses as much as digits as its factorization.

57582264354193 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 217728000, while the sum is 64.

The spelling of 57582264354193 in words is "fifty-seven trillion, five hundred eighty-two billion, two hundred sixty-four million, three hundred fifty-four thousand, one hundred ninety-three".