513144 has 24 divisors (see below), whose sum is σ = 1389960. Its totient is φ = 171024.

The previous prime is 513137. The next prime is 513157. The reversal of 513144 is 441315.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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 5 ways as a sum of consecutive naturals, for example, 3492 + ... + 3635.

It is an arithmetic number, because the mean of its divisors is an integer number (57915).

2⁵¹³¹⁴⁴ is an apocalyptic number.

It is an amenable number.

513144 is an abundant number, since it is smaller than the sum of its proper divisors (876816).

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

513144 is a wasteful number, since it uses less digits than its factorization.

513144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7139 (or 7132 counting only the distinct ones).

The product of its digits is 240, while the sum is 18.

The square root of 513144 is about 716.3407010634. The cubic root of 513144 is about 80.0595390112.

Adding to 513144 its reverse (441315), we get a palindrome (954459).

The spelling of 513144 in words is "five hundred thirteen thousand, one hundred forty-four".