513321217 has 2 divisors, whose sum is σ = 513321218. Its totient is φ = 513321216.

The previous prime is 513321209. The next prime is 513321251. The reversal of 513321217 is 712123315.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 277422336 + 235898881 = 16656^2 + 15359^2 .

It is a cyclic number.

It is not a de Polignac number, because 513321217 - 2³ = 513321209 is a prime.

It is a super-2 number, since 2×513321217² = 526997343644722178, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 513321191 and 513321200.

It is not a weakly prime, because it can be changed into another prime (513321287) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 256660608 + 256660609.

It is an arithmetic number, because the mean of its divisors is an integer number (256660609).

Almost surely, 2^513321217 is an apocalyptic number.

It is an amenable number.

513321217 is a deficient number, since it is larger than the sum of its proper divisors (1).

513321217 is an equidigital number, since it uses as much as digits as its factorization.

513321217 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1260, while the sum is 25.

The square root of 513321217 is about 22656.5932346414. The cubic root of 513321217 is about 800.6875427910.

The spelling of 513321217 in words is "five hundred thirteen million, three hundred twenty-one thousand, two hundred seventeen".