4281567824249 has 2 divisors, whose sum is σ = 4281567824250. Its totient is φ = 4281567824248.

The previous prime is 4281567824201. The next prime is 4281567824251. The reversal of 4281567824249 is 9424287651824.

4281567824249 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., 4257751618624 + 23816205625 = 2063432^2 + 154325^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-4281567824249 is a prime.

Together with 4281567824251, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 4281567824191 and 4281567824200.

It is not a weakly prime, because it can be changed into another prime (4281567824549) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2140783912124 + 2140783912125.

It is an arithmetic number, because the mean of its divisors is an integer number (2140783912125).

Almost surely, 2^{4281567824249} is an apocalyptic number.

It is an amenable number.

4281567824249 is a deficient number, since it is larger than the sum of its proper divisors (1).

4281567824249 is an equidigital number, since it uses as much as digits as its factorization.

4281567824249 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 61931520, while the sum is 62.

The spelling of 4281567824249 in words is "four trillion, two hundred eighty-one billion, five hundred sixty-seven million, eight hundred twenty-four thousand, two hundred forty-nine".