2505221251217 has 2 divisors, whose sum is σ = 2505221251218. Its totient is φ = 2505221251216.

The previous prime is 2505221251199. The next prime is 2505221251241. The reversal of 2505221251217 is 7121521225052.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2442018788416 + 63202462801 = 1562696^2 + 251401^2 .

It is a cyclic number.

It is not a de Polignac number, because 2505221251217 - 2¹⁴ = 2505221234833 is a prime.

It is a super-2 number, since 2×2505221251217² (a number of 26 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2505221251517) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1252610625608 + 1252610625609.

It is an arithmetic number, because the mean of its divisors is an integer number (1252610625609).

Almost surely, 2^{2505221251217} is an apocalyptic number.

It is an amenable number.

2505221251217 is a deficient number, since it is larger than the sum of its proper divisors (1).

2505221251217 is an equidigital number, since it uses as much as digits as its factorization.

2505221251217 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 28000, while the sum is 35.

Adding to 2505221251217 its reverse (7121521225052), we get a palindrome (9626742476269).

The spelling of 2505221251217 in words is "two trillion, five hundred five billion, two hundred twenty-one million, two hundred fifty-one thousand, two hundred seventeen".