513140 has 12 divisors (see below), whose sum is σ = 1077636. Its totient is φ = 205248.

The previous prime is 513137. The next prime is 513157. The reversal of 513140 is 41315.

It can be written as a sum of positive squares in 2 ways, for example, as 169744 + 343396 = 412^2 + 586^2 .

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 513140.

It is an unprimeable 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 3 ways as a sum of consecutive naturals, for example, 12809 + ... + 12848.

It is an arithmetic number, because the mean of its divisors is an integer number (89803).

2⁵¹³¹⁴⁰ is an apocalyptic number.

It is an amenable number.

513140 is an abundant number, since it is smaller than the sum of its proper divisors (564496).

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

513140 is a wasteful number, since it uses less digits than its factorization.

513140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25666 (or 25664 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 14.

The square root of 513140 is about 716.3379090904. The cubic root of 513140 is about 80.0593309870.

Adding to 513140 its reverse (41315), we get a palindrome (554455).

The spelling of 513140 in words is "five hundred thirteen thousand, one hundred forty".