57510297777797 has 2 divisors, whose sum is σ = 57510297777798. Its totient is φ = 57510297777796.

The previous prime is 57510297777739. The next prime is 57510297777799. The reversal of 57510297777797 is 79777779201575.

57510297777797 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., 48961451584516 + 8548846193281 = 6997246^2 + 2923841^2 .

It is a cyclic number.

It is not a de Polignac number, because 57510297777797 - 2¹² = 57510297773701 is a prime.

Together with 57510297777799, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (57510297777799) 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, 28755148888898 + 28755148888899.

It is an arithmetic number, because the mean of its divisors is an integer number (28755148888899).

Almost surely, 2^{57510297777797} is an apocalyptic number.

It is an amenable number.

57510297777797 is a deficient number, since it is larger than the sum of its proper divisors (1).

57510297777797 is an equidigital number, since it uses as much as digits as its factorization.

57510297777797 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3335349150, while the sum is 80.

The spelling of 57510297777797 in words is "fifty-seven trillion, five hundred ten billion, two hundred ninety-seven million, seven hundred seventy-seven thousand, seven hundred ninety-seven".