252524754754849 has 2 divisors, whose sum is σ = 252524754754850. Its totient is φ = 252524754754848.

The previous prime is 252524754754843. The next prime is 252524754754871. The reversal of 252524754754849 is 948457457425252.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 251165665114849 + 1359089640000 = 15848207^2 + 1165800^2 .

It is a cyclic number.

It is not a de Polignac number, because 252524754754849 - 2¹⁷ = 252524754623777 is a prime.

It is not a weakly prime, because it can be changed into another prime (252524754754843) 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, 126262377377424 + 126262377377425.

It is an arithmetic number, because the mean of its divisors is an integer number (126262377377425).

Almost surely, 2^{252524754754849} is an apocalyptic number.

It is an amenable number.

252524754754849 is a deficient number, since it is larger than the sum of its proper divisors (1).

252524754754849 is an equidigital number, since it uses as much as digits as its factorization.

252524754754849 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 4515840000, while the sum is 73.

The spelling of 252524754754849 in words is "two hundred fifty-two trillion, five hundred twenty-four billion, seven hundred fifty-four million, seven hundred fifty-four thousand, eight hundred forty-nine".