513640 has 16 divisors (see below), whose sum is σ = 1155780. Its totient is φ = 205440.

The previous prime is 513631. The next prime is 513641. The reversal of 513640 is 46315.

It can be written as a sum of positive squares in 2 ways, for example, as 509796 + 3844 = 714^2 + 62^2 .

It is not an unprimeable number, because it can be changed into a prime (513641) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 6381 + ... + 6460.

2⁵¹³⁶⁴⁰ is an apocalyptic number.

It is an amenable number.

513640 is an abundant number, since it is smaller than the sum of its proper divisors (642140).

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

513640 is a wasteful number, since it uses less digits than its factorization.

513640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12852 (or 12848 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

The square root of 513640 is about 716.6868214220. The cubic root of 513640 is about 80.0853256285.

Adding to 513640 its reverse (46315), we get a palindrome (559955).

The spelling of 513640 in words is "five hundred thirteen thousand, six hundred forty".