34500257221 has 2 divisors, whose sum is σ = 34500257222. Its totient is φ = 34500257220.

The previous prime is 34500257119. The next prime is 34500257227. The reversal of 34500257221 is 12275200543.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 18093209121 + 16407048100 = 134511^2 + 128090^2 .

It is an emirp because it is prime and its reverse (12275200543) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 34500257221 - 2¹⁷ = 34500126149 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (34500257227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17250128610 + 17250128611.

It is an arithmetic number, because the mean of its divisors is an integer number (17250128611).

Almost surely, 2^34500257221 is an apocalyptic number.

It is an amenable number.

34500257221 is a deficient number, since it is larger than the sum of its proper divisors (1).

34500257221 is an equidigital number, since it uses as much as digits as its factorization.

34500257221 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16800, while the sum is 31.

Adding to 34500257221 its reverse (12275200543), we get a palindrome (46775457764).

The spelling of 34500257221 in words is "thirty-four billion, five hundred million, two hundred fifty-seven thousand, two hundred twenty-one".