513672 has 32 divisors (see below), whose sum is σ = 1360800. Its totient is φ = 161024.

The previous prime is 513649. The next prime is 513673. The reversal of 513672 is 276315.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (513673) by changing a digit.

513672 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 7 ways as a sum of consecutive naturals, for example, 222 + ... + 1037.

It is an arithmetic number, because the mean of its divisors is an integer number (42525).

2⁵¹³⁶⁷² is an apocalyptic number.

It is an amenable number.

513672 is an abundant number, since it is smaller than the sum of its proper divisors (847128).

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

513672 is a wasteful number, since it uses less digits than its factorization.

513672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1285 (or 1281 counting only the distinct ones).

The product of its digits is 1260, while the sum is 24.

The square root of 513672 is about 716.7091460279. The cubic root of 513672 is about 80.0869887111.

Adding to 513672 its reverse (276315), we get a palindrome (789987).

The spelling of 513672 in words is "five hundred thirteen thousand, six hundred seventy-two".