513409 has 8 divisors (see below), whose sum is σ = 561512. Its totient is φ = 466560.

The previous prime is 513407. The next prime is 513419. The reversal of 513409 is 904315.

It can be written as a sum of positive squares in 4 ways, for example, as 16384 + 497025 = 128^2 + 705^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 513409 - 2¹ = 513407 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 513409.

It is not an unprimeable number, because it can be changed into a prime (513407) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 679 + ... + 1219.

It is an arithmetic number, because the mean of its divisors is an integer number (70189).

2⁵¹³⁴⁰⁹ is an apocalyptic number.

It is an amenable number.

513409 is a deficient number, since it is larger than the sum of its proper divisors (48103).

513409 is a wasteful number, since it uses less digits than its factorization.

513409 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 627.

The product of its (nonzero) digits is 540, while the sum is 22.

The square root of 513409 is about 716.5256450400. The cubic root of 513409 is about 80.0733182017.

The spelling of 513409 in words is "five hundred thirteen thousand, four hundred nine".