513936 has 60 divisors (see below), whose sum is σ = 1489488. Its totient is φ = 165312.

The previous prime is 513923. The next prime is 513937. The reversal of 513936 is 639315.

It is a zygodrome in base 3.

It is not an unprimeable number, because it can be changed into a prime (513937) by changing a digit.

513936 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 11 ways as a sum of consecutive naturals, for example, 6151 + ... + 6233.

2⁵¹³⁹³⁶ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 513936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (744744).

513936 is an abundant number, since it is smaller than the sum of its proper divisors (975552).

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

513936 is a wasteful number, since it uses less digits than its factorization.

513936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 131 counting only the distinct ones).

The product of its digits is 2430, while the sum is 27.

The square root of 513936 is about 716.8932974997. The cubic root of 513936 is about 80.1007065076.

The spelling of 513936 in words is "five hundred thirteen thousand, nine hundred thirty-six".