513636 has 24 divisors (see below), whose sum is σ = 1251264. Its totient is φ = 163680.

The previous prime is 513631. The next prime is 513641. The reversal of 513636 is 636315.

513636 is nontrivially palindromic in base 7.

It is an interprime number because it is at equal distance from previous prime (513631) and next prime (513641).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 513636.

It is not an unprimeable number, because it can be changed into a prime (513631) by changing a digit.

513636 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 7 ways as a sum of consecutive naturals, for example, 655 + ... + 1206.

It is an arithmetic number, because the mean of its divisors is an integer number (52136).

2⁵¹³⁶³⁶ is an apocalyptic number.

It is an amenable number.

513636 is an abundant number, since it is smaller than the sum of its proper divisors (737628).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

513636 is a wasteful number, since it uses less digits than its factorization.

513636 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1891 (or 1889 counting only the distinct ones).

The product of its digits is 1620, while the sum is 24.

The square root of 513636 is about 716.6840307974. The cubic root of 513636 is about 80.0851177383.

The spelling of 513636 in words is "five hundred thirteen thousand, six hundred thirty-six".