513942 has 32 divisors (see below), whose sum is σ = 1209600. Its totient is φ = 143520.

The previous prime is 513937. The next prime is 513943. The reversal of 513942 is 249315.

It is a nialpdrome in base 14.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 513942.

It is not an unprimeable number, because it can be changed into a prime (513943) by changing a digit.

513942 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 (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 559 + ... + 1157.

It is an arithmetic number, because the mean of its divisors is an integer number (37800).

2⁵¹³⁹⁴² is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 513942, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (604800).

513942 is an abundant number, since it is smaller than the sum of its proper divisors (695658).

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

513942 is a wasteful number, since it uses less digits than its factorization.

513942 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 628.

The product of its digits is 1080, while the sum is 24.

The square root of 513942 is about 716.8974822107. The cubic root of 513942 is about 80.1010182211.

It can be divided in two parts, 51 and 3942, that added together give a palindrome (3993).

The spelling of 513942 in words is "five hundred thirteen thousand, nine hundred forty-two".