513765089 has 2 divisors, whose sum is σ = 513765090. Its totient is φ = 513765088.

The previous prime is 513765071. The next prime is 513765113. The reversal of 513765089 is 980567315.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 316840000 + 196925089 = 17800^2 + 14033^2 .

It is a cyclic number.

It is not a de Polignac number, because 513765089 - 2²⁰ = 512716513 is a prime.

It is not a weakly prime, because it can be changed into another prime (513765029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 256882544 + 256882545.

It is an arithmetic number, because the mean of its divisors is an integer number (256882545).

Almost surely, 2^513765089 is an apocalyptic number.

It is an amenable number.

513765089 is a deficient number, since it is larger than the sum of its proper divisors (1).

513765089 is an equidigital number, since it uses as much as digits as its factorization.

513765089 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 226800, while the sum is 44.

The square root of 513765089 is about 22666.3867654287. The cubic root of 513765089 is about 800.9182627761.

It can be divided in two parts, 51376 and 5089, that added together give a palindrome (56465).

The spelling of 513765089 in words is "five hundred thirteen million, seven hundred sixty-five thousand, eighty-nine".