513840 has 40 divisors (see below), whose sum is σ = 1593648. Its totient is φ = 136960.

The previous prime is 513839. The next prime is 513841. The reversal of 513840 is 48315.

It is an interprime number because it is at equal distance from previous prime (513839) and next prime (513841).

It is a tau number, because it is divible by the number of its divisors (40).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (513841) 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 7 ways as a sum of consecutive naturals, for example, 831 + ... + 1310.

2⁵¹³⁸⁴⁰ is an apocalyptic number.

It is an amenable number.

513840 is an abundant number, since it is smaller than the sum of its proper divisors (1079808).

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

513840 is a wasteful number, since it uses less digits than its factorization.

513840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2157 (or 2151 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 513840 is about 716.8263388018. The cubic root of 513840 is about 80.0957187616.

The spelling of 513840 in words is "five hundred thirteen thousand, eight hundred forty".