513162 has 64 divisors (see below), whose sum is σ = 1330560. Its totient is φ = 145152.

The previous prime is 513157. The next prime is 513167. The reversal of 513162 is 261315.

It is an interprime number because it is at equal distance from previous prime (513157) and next prime (513167).

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

It is not an unprimeable number, because it can be changed into a prime (513167) by changing a digit.

513162 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 31 ways as a sum of consecutive naturals, for example, 11913 + ... + 11955.

It is an arithmetic number, because the mean of its divisors is an integer number (20790).

2⁵¹³¹⁶² is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 513162, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (665280).

513162 is an abundant number, since it is smaller than the sum of its proper divisors (817398).

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

513162 is a wasteful number, since it uses less digits than its factorization.

513162 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 78 counting only the distinct ones).

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

The square root of 513162 is about 716.3532648072. The cubic root of 513162 is about 80.0604751063.

Adding to 513162 its reverse (261315), we get a palindrome (774477).

The spelling of 513162 in words is "five hundred thirteen thousand, one hundred sixty-two".