513219409 has 12 divisors (see below), whose sum is σ = 562808844. Its totient is φ = 466360832.

The previous prime is 513219403. The next prime is 513219437. The reversal of 513219409 is 904912315.

It can be written as a sum of positive squares in 6 ways, for example, as 35141184 + 478078225 = 5928^2 + 21865^2 .

It is not a de Polignac number, because 513219409 - 2¹⁹ = 512695121 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (513219403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3652 + ... + 32245.

It is an arithmetic number, because the mean of its divisors is an integer number (46900737).

Almost surely, 2^513219409 is an apocalyptic number.

It is an amenable number.

513219409 is a deficient number, since it is larger than the sum of its proper divisors (49589435).

513219409 is a wasteful number, since it uses less digits than its factorization.

513219409 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35972 (or 35943 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 34.

The square root of 513219409 is about 22654.3463600255. The cubic root of 513219409 is about 800.6346053162.

The spelling of 513219409 in words is "five hundred thirteen million, two hundred nineteen thousand, four hundred nine".