513505 has 4 divisors (see below), whose sum is σ = 616212. Its totient is φ = 410800.

The previous prime is 513481. The next prime is 513509. The reversal of 513505 is 505315.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 505315 = 5 ⋅101063.

It can be written as a sum of positive squares in 2 ways, for example, as 242064 + 271441 = 492^2 + 521^2 .

It is not a de Polignac number, because 513505 - 2⁵ = 513473 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (513509) 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, 51346 + ... + 51355.

It is an arithmetic number, because the mean of its divisors is an integer number (154053).

2⁵¹³⁵⁰⁵ is an apocalyptic number.

It is an amenable number.

513505 is a deficient number, since it is larger than the sum of its proper divisors (102707).

513505 is a wasteful number, since it uses less digits than its factorization.

513505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102706.

The product of its (nonzero) digits is 375, while the sum is 19.

The square root of 513505 is about 716.5926318349. The cubic root of 513505 is about 80.0783087384.

The spelling of 513505 in words is "five hundred thirteen thousand, five hundred five".