513730 has 32 divisors (see below), whose sum is σ = 1088640. Its totient is φ = 170880.

The previous prime is 513727. The next prime is 513731. The reversal of 513730 is 37315.

It is an Ulam number.

It is a nialpdrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 513698 and 513707.

It is not an unprimeable number, because it can be changed into a prime (513731) 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 15 ways as a sum of consecutive naturals, for example, 2781 + ... + 2959.

It is an arithmetic number, because the mean of its divisors is an integer number (34020).

2⁵¹³⁷³⁰ is an apocalyptic number.

513730 is an abundant number, since it is smaller than the sum of its proper divisors (574910).

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

513730 is a wasteful number, since it uses less digits than its factorization.

513730 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234.

The product of its (nonzero) digits is 315, while the sum is 19.

The square root of 513730 is about 716.7496076037. The cubic root of 513730 is about 80.0900028722.

The spelling of 513730 in words is "five hundred thirteen thousand, seven hundred thirty".