252520221017 has 2 divisors, whose sum is σ = 252520221018. Its totient is φ = 252520221016.

The previous prime is 252520220951. The next prime is 252520221049. The reversal of 252520221017 is 710122025252.

252520221017 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., 188950179856 + 63570041161 = 434684^2 + 252131^2 .

It is a cyclic number.

It is not a de Polignac number, because 252520221017 - 2²⁰ = 252519172441 is a prime.

It is not a weakly prime, because it can be changed into another prime (252520221077) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 126260110508 + 126260110509.

It is an arithmetic number, because the mean of its divisors is an integer number (126260110509).

Almost surely, 2^252520221017 is an apocalyptic number.

It is an amenable number.

252520221017 is a deficient number, since it is larger than the sum of its proper divisors (1).

252520221017 is an equidigital number, since it uses as much as digits as its factorization.

252520221017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5600, while the sum is 29.

Adding to 252520221017 its reverse (710122025252), we get a palindrome (962642246269).

The spelling of 252520221017 in words is "two hundred fifty-two billion, five hundred twenty million, two hundred twenty-one thousand, seventeen".