57256088065249 has 2 divisors, whose sum is σ = 57256088065250. Its totient is φ = 57256088065248.

The previous prime is 57256088065109. The next prime is 57256088065303. The reversal of 57256088065249 is 94256088065275.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 53644784547600 + 3611303517649 = 7324260^2 + 1900343^2 .

It is a cyclic number.

It is not a de Polignac number, because 57256088065249 - 2¹³ = 57256088057057 is a prime.

It is a super-3 number, since 3×57256088065249³ (a number of 42 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (57256088063249) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 28628044032624 + 28628044032625.

It is an arithmetic number, because the mean of its divisors is an integer number (28628044032625).

Almost surely, 2^{57256088065249} is an apocalyptic number.

It is an amenable number.

57256088065249 is a deficient number, since it is larger than the sum of its proper divisors (1).

57256088065249 is an equidigital number, since it uses as much as digits as its factorization.

57256088065249 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 290304000, while the sum is 67.

The spelling of 57256088065249 in words is "fifty-seven trillion, two hundred fifty-six billion, eighty-eight million, sixty-five thousand, two hundred forty-nine".