513156 has 48 divisors (see below), whose sum is σ = 1411200. Its totient is φ = 142080.

The previous prime is 513137. The next prime is 513157. The reversal of 513156 is 651315.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (513157) by changing a digit.

513156 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3370 + ... + 3518.

It is an arithmetic number, because the mean of its divisors is an integer number (29400).

2⁵¹³¹⁵⁶ 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 513156, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (705600).

513156 is an abundant number, since it is smaller than the sum of its proper divisors (898044).

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

513156 is a wasteful number, since it uses less digits than its factorization.

513156 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 202 counting only the distinct ones).

The product of its digits is 450, while the sum is 21.

The square root of 513156 is about 716.3490769171. The cubic root of 513156 is about 80.0601630770.

The spelling of 513156 in words is "five hundred thirteen thousand, one hundred fifty-six".