513513342409 has 4 divisors (see below), whose sum is σ = 513723199104. Its totient is φ = 513303485716.

The previous prime is 513513342317. The next prime is 513513342413. The reversal of 513513342409 is 904243315315.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also an emirpimes, since its reverse is a distinct semiprime: 904243315315 = 5 ⋅180848663063.

It is a cyclic number.

It is not a de Polignac number, because 513513342409 - 2²⁷ = 513379124681 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (513513342439) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 104924677 + ... + 104929570.

It is an arithmetic number, because the mean of its divisors is an integer number (128430799776).

Almost surely, 2^513513342409 is an apocalyptic number.

It is an amenable number.

513513342409 is a deficient number, since it is larger than the sum of its proper divisors (209856695).

513513342409 is a wasteful number, since it uses less digits than its factorization.

513513342409 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209856694.

The product of its (nonzero) digits is 194400, while the sum is 40.

The spelling of 513513342409 in words is "five hundred thirteen billion, five hundred thirteen million, three hundred forty-two thousand, four hundred nine".