257226066775753 has 2 divisors, whose sum is σ = 257226066775754. Its totient is φ = 257226066775752.

The previous prime is 257226066775679. The next prime is 257226066775771. The reversal of 257226066775753 is 357577660622752.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 208920341921929 + 48305724853824 = 14454077^2 + 6950232^2 .

It is a cyclic number.

It is not a de Polignac number, because 257226066775753 - 2⁴¹ = 255027043520201 is a prime.

It is not a weakly prime, because it can be changed into another prime (257226066775793) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 128613033387876 + 128613033387877.

It is an arithmetic number, because the mean of its divisors is an integer number (128613033387877).

Almost surely, 2^{257226066775753} is an apocalyptic number.

It is an amenable number.

257226066775753 is a deficient number, since it is larger than the sum of its proper divisors (1).

257226066775753 is an equidigital number, since it uses as much as digits as its factorization.

257226066775753 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1555848000, while the sum is 70.

The spelling of 257226066775753 in words is "two hundred fifty-seven trillion, two hundred twenty-six billion, sixty-six million, seven hundred seventy-five thousand, seven hundred fifty-three".