513642 has 8 divisors (see below), whose sum is σ = 1027296. Its totient is φ = 171212.

The previous prime is 513641. The next prime is 513649. The reversal of 513642 is 246315.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

513642 is an admirable number.

It is an Ulam number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 513642.

It is not an unprimeable number, because it can be changed into a prime (513641) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 42798 + ... + 42809.

It is an arithmetic number, because the mean of its divisors is an integer number (128412).

2⁵¹³⁶⁴² is an apocalyptic number.

513642 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

513642 is a wasteful number, since it uses less digits than its factorization.

513642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85612.

The product of its digits is 720, while the sum is 21.

The square root of 513642 is about 716.6882167303. The cubic root of 513642 is about 80.0854295732.

Adding to 513642 its reverse (246315), we get a palindrome (759957).

The spelling of 513642 in words is "five hundred thirteen thousand, six hundred forty-two".