513225521 has 2 divisors, whose sum is σ = 513225522. Its totient is φ = 513225520.

The previous prime is 513225509. The next prime is 513225527. The reversal of 513225521 is 125522315.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 403206400 + 110019121 = 20080^2 + 10489^2 .

It is a cyclic number.

It is not a de Polignac number, because 513225521 - 2¹⁰ = 513224497 is a prime.

It is not a weakly prime, because it can be changed into another prime (513225527) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 256612760 + 256612761.

It is an arithmetic number, because the mean of its divisors is an integer number (256612761).

Almost surely, 2^513225521 is an apocalyptic number.

It is an amenable number.

513225521 is a deficient number, since it is larger than the sum of its proper divisors (1).

513225521 is an equidigital number, since it uses as much as digits as its factorization.

513225521 is an evil number, because the sum of its binary digits is even.

The product of its digits is 3000, while the sum is 26.

The square root of 513225521 is about 22654.4812564755. The cubic root of 513225521 is about 800.6377835925.

Adding to 513225521 its reverse (125522315), we get a palindrome (638747836).

The spelling of 513225521 in words is "five hundred thirteen million, two hundred twenty-five thousand, five hundred twenty-one".