314250566584081 has 2 divisors, whose sum is σ = 314250566584082. Its totient is φ = 314250566584080.

The previous prime is 314250566584049. The next prime is 314250566584111. The reversal of 314250566584081 is 180485665052413.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 312616311159681 + 1634255424400 = 17680959^2 + 1278380^2 .

It is a cyclic number.

It is not a de Polignac number, because 314250566584081 - 2⁵ = 314250566584049 is a prime.

It is a super-2 number, since 2×314250566584081² (a number of 30 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (314250566584021) 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, 157125283292040 + 157125283292041.

It is an arithmetic number, because the mean of its divisors is an integer number (157125283292041).

Almost surely, 2^{314250566584081} is an apocalyptic number.

It is an amenable number.

314250566584081 is a deficient number, since it is larger than the sum of its proper divisors (1).

314250566584081 is an equidigital number, since it uses as much as digits as its factorization.

314250566584081 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 27648000, while the sum is 58.

The spelling of 314250566584081 in words is "three hundred fourteen trillion, two hundred fifty billion, five hundred sixty-six million, five hundred eighty-four thousand, eighty-one".