252585038689 has 2 divisors, whose sum is σ = 252585038690. Its totient is φ = 252585038688.

The previous prime is 252585038647. The next prime is 252585038707. The reversal of 252585038689 is 986830585252.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 127345491025 + 125239547664 = 356855^2 + 353892^2 .

It is a cyclic number.

It is not a de Polignac number, because 252585038689 - 2⁹ = 252585038177 is a prime.

It is not a weakly prime, because it can be changed into another prime (252585038639) 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, 126292519344 + 126292519345.

It is an arithmetic number, because the mean of its divisors is an integer number (126292519345).

Almost surely, 2^252585038689 is an apocalyptic number.

It is an amenable number.

252585038689 is a deficient number, since it is larger than the sum of its proper divisors (1).

252585038689 is an equidigital number, since it uses as much as digits as its factorization.

252585038689 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 41472000, while the sum is 61.

The spelling of 252585038689 in words is "two hundred fifty-two billion, five hundred eighty-five million, thirty-eight thousand, six hundred eighty-nine".