2005251217 has 2 divisors, whose sum is σ = 2005251218. Its totient is φ = 2005251216.

The previous prime is 2005251211. The next prime is 2005251271. The reversal of 2005251217 is 7121525002.

Together with next prime (2005251271) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1933272961 + 71978256 = 43969^2 + 8484^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2005251217 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2005251191 and 2005251200.

It is not a weakly prime, because it can be changed into another prime (2005251211) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1002625608 + 1002625609.

It is an arithmetic number, because the mean of its divisors is an integer number (1002625609).

Almost surely, 2^2005251217 is an apocalyptic number.

It is an amenable number.

2005251217 is a deficient number, since it is larger than the sum of its proper divisors (1).

2005251217 is an equidigital number, since it uses as much as digits as its factorization.

2005251217 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1400, while the sum is 25.

The square root of 2005251217 is about 44780.0314537630. The cubic root of 2005251217 is about 1261.0227726985.

Adding to 2005251217 its reverse (7121525002), we get a palindrome (9126776219).

The spelling of 2005251217 in words is "two billion, five million, two hundred fifty-one thousand, two hundred seventeen".