513126 has 24 divisors (see below), whose sum is σ = 1151280. Its totient is φ = 164976.

The previous prime is 513109. The next prime is 513131. The reversal of 513126 is 621315.

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 513099 and 513108.

It is a congruent number.

It is an unprimeable number.

513126 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 (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 31 + ... + 1013.

It is an arithmetic number, because the mean of its divisors is an integer number (47970).

2⁵¹³¹²⁶ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 513126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (575640).

513126 is an abundant number, since it is smaller than the sum of its proper divisors (638154).

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

513126 is a wasteful number, since it uses less digits than its factorization.

513126 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1020 (or 1017 counting only the distinct ones).

The product of its digits is 180, while the sum is 18.

The square root of 513126 is about 716.3281370992. The cubic root of 513126 is about 80.0586028941.

It can be divided in two parts, 5 and 13126, that added together give a palindrome (13131).

The spelling of 513126 in words is "five hundred thirteen thousand, one hundred twenty-six".