513563221 has 2 divisors, whose sum is σ = 513563222. Its totient is φ = 513563220.

The previous prime is 513563207. The next prime is 513563227. The reversal of 513563221 is 122365315.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 357588100 + 155975121 = 18910^2 + 12489^2 .

It is a cyclic number.

It is not a de Polignac number, because 513563221 - 2⁵ = 513563189 is a prime.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 513563221.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (513563227) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 256781610 + 256781611.

It is an arithmetic number, because the mean of its divisors is an integer number (256781611).

Almost surely, 2^513563221 is an apocalyptic number.

It is an amenable number.

513563221 is a deficient number, since it is larger than the sum of its proper divisors (1).

513563221 is an equidigital number, since it uses as much as digits as its factorization.

513563221 is an evil number, because the sum of its binary digits is even.

The product of its digits is 5400, while the sum is 28.

The square root of 513563221 is about 22661.9333023465. The cubic root of 513563221 is about 800.8133504003.

The spelling of 513563221 in words is "five hundred thirteen million, five hundred sixty-three thousand, two hundred twenty-one".