513555 has 32 divisors (see below), whose sum is σ = 966144. Its totient is φ = 228096.

The previous prime is 513533. The next prime is 513593. The reversal of 513555 is 555315.

513555 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 513555 - 2⁷ = 513427 is a prime.

It is a super-3 number, since 3×513555³ = 406333042819286625, which contains 333 as substring.

It is a nude number because it is divisible by every one of its digits.

513555 is strictly pandigital in base 7.

513555 is a lucky number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 513555.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6999 + ... + 7071.

It is an arithmetic number, because the mean of its divisors is an integer number (30192).

2⁵¹³⁵⁵⁵ is an apocalyptic number.

513555 is a deficient number, since it is larger than the sum of its proper divisors (452589).

513555 is a wasteful number, since it uses less digits than its factorization.

513555 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155.

The product of its digits is 1875, while the sum is 24.

The square root of 513555 is about 716.6275183106. The cubic root of 513555 is about 80.0809077300.

It can be divided in two parts, 51355 and 5, that added together give a triangular number (51360 = T₃₂₀).

The spelling of 513555 in words is "five hundred thirteen thousand, five hundred fifty-five".