513912 has 96 divisors (see below), whose sum is σ = 1641600. Its totient is φ = 133056.

The previous prime is 513899. The next prime is 513917. The reversal of 513912 is 219315.

513912 is nontrivially palindromic in base 11.

It is a Harshad number since it is a multiple of its sum of digits (21).

Its product of digits (270) is a multiple of the sum of its prime divisors (54).

It is a nialpdrome in base 14.

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 513912.

It is not an unprimeable number, because it can be changed into a prime (513917) by changing a digit.

513912 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22333 + ... + 22355.

It is an arithmetic number, because the mean of its divisors is an integer number (17100).

2⁵¹³⁹¹² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 513912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (820800).

513912 is an abundant number, since it is smaller than the sum of its proper divisors (1127688).

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

513912 is a wasteful number, since it uses less digits than its factorization.

513912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65 (or 54 counting only the distinct ones).

The product of its digits is 270, while the sum is 21.

The square root of 513912 is about 716.8765584116. The cubic root of 513912 is about 80.0994596294.

It can be divided in two parts, 5139 and 12, that added together give a triangular number (5151 = T₁₀₁).

The spelling of 513912 in words is "five hundred thirteen thousand, nine hundred twelve".