516417221 has 2 divisors, whose sum is σ = 516417222. Its totient is φ = 516417220.

The previous prime is 516417193. The next prime is 516417259. The reversal of 516417221 is 122714615.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 506745121 + 9672100 = 22511^2 + 3110^2 .

It is a cyclic number.

It is not a de Polignac number, because 516417221 - 2⁶ = 516417157 is a prime.

It is a super-2 number, since 2×516417221² = 533373492290725682, which contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (516417821) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 258208610 + 258208611.

It is an arithmetic number, because the mean of its divisors is an integer number (258208611).

Almost surely, 2^516417221 is an apocalyptic number.

It is an amenable number.

516417221 is a deficient number, since it is larger than the sum of its proper divisors (1).

516417221 is an equidigital number, since it uses as much as digits as its factorization.

516417221 is an evil number, because the sum of its binary digits is even.

The product of its digits is 3360, while the sum is 29.

The square root of 516417221 is about 22724.8150927571. The cubic root of 516417221 is about 802.2940513103.

The spelling of 516417221 in words is "five hundred sixteen million, four hundred seventeen thousand, two hundred twenty-one".