57315105637217 has 2 divisors, whose sum is σ = 57315105637218. Its totient is φ = 57315105637216.

The previous prime is 57315105637187. The next prime is 57315105637241. The reversal of 57315105637217 is 71273650151375.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 34330330105681 + 22984775531536 = 5859209^2 + 4794244^2 .

It is a cyclic number.

It is not a de Polignac number, because 57315105637217 - 2⁸ = 57315105636961 is a prime.

It is not a weakly prime, because it can be changed into another prime (57315105637117) 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, 28657552818608 + 28657552818609.

It is an arithmetic number, because the mean of its divisors is an integer number (28657552818609).

Almost surely, 2^{57315105637217} is an apocalyptic number.

It is an amenable number.

57315105637217 is a deficient number, since it is larger than the sum of its proper divisors (1).

57315105637217 is an equidigital number, since it uses as much as digits as its factorization.

57315105637217 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4630500, while the sum is 53.

The spelling of 57315105637217 in words is "fifty-seven trillion, three hundred fifteen billion, one hundred five million, six hundred thirty-seven thousand, two hundred seventeen".