513520289 has 2 divisors, whose sum is σ = 513520290. Its totient is φ = 513520288.

The previous prime is 513520283. The next prime is 513520291. The reversal of 513520289 is 982025315.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 424689664 + 88830625 = 20608^2 + 9425^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-513520289 is a prime.

Together with 513520291, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (513520283) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 256760144 + 256760145.

It is an arithmetic number, because the mean of its divisors is an integer number (256760145).

Almost surely, 2^513520289 is an apocalyptic number.

It is an amenable number.

513520289 is a deficient number, since it is larger than the sum of its proper divisors (1).

513520289 is an equidigital number, since it uses as much as digits as its factorization.

513520289 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 21600, while the sum is 35.

The square root of 513520289 is about 22660.9860553331. The cubic root of 513520289 is about 800.7910347597.

The spelling of 513520289 in words is "five hundred thirteen million, five hundred twenty thousand, two hundred eighty-nine".