4873567007249 has 2 divisors, whose sum is σ = 4873567007250. Its totient is φ = 4873567007248.

The previous prime is 4873567007107. The next prime is 4873567007263. The reversal of 4873567007249 is 9427007653784.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 4872914971024 + 652036225 = 2207468^2 + 25535^2 .

It is a cyclic number.

It is not a de Polignac number, because 4873567007249 - 2¹² = 4873567003153 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 4873567007191 and 4873567007200.

It is not a weakly prime, because it can be changed into another prime (4873567000249) 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, 2436783503624 + 2436783503625.

It is an arithmetic number, because the mean of its divisors is an integer number (2436783503625).

Almost surely, 2^{4873567007249} is an apocalyptic number.

It is an amenable number.

4873567007249 is a deficient number, since it is larger than the sum of its proper divisors (1).

4873567007249 is an equidigital number, since it uses as much as digits as its factorization.

4873567007249 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 71124480, while the sum is 62.

The spelling of 4873567007249 in words is "four trillion, eight hundred seventy-three billion, five hundred sixty-seven million, seven thousand, two hundred forty-nine".