517953221 has 2 divisors, whose sum is σ = 517953222. Its totient is φ = 517953220.

The previous prime is 517953217. The next prime is 517953223. The reversal of 517953221 is 122359715.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 512524321 + 5428900 = 22639^2 + 2330^2 .

It is a cyclic number.

It is not a de Polignac number, because 517953221 - 2² = 517953217 is a prime.

Together with 517953223, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (517953223) 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, 258976610 + 258976611.

It is an arithmetic number, because the mean of its divisors is an integer number (258976611).

Almost surely, 2^517953221 is an apocalyptic number.

It is an amenable number.

517953221 is a deficient number, since it is larger than the sum of its proper divisors (1).

517953221 is an equidigital number, since it uses as much as digits as its factorization.

517953221 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 18900, while the sum is 35.

The square root of 517953221 is about 22758.5856546491. The cubic root of 517953221 is about 803.0886955403.

The spelling of 517953221 in words is "five hundred seventeen million, nine hundred fifty-three thousand, two hundred twenty-one".