42513 has 8 divisors (see below), whose sum is σ = 58368. Its totient is φ = 27504.

The previous prime is 42509. The next prime is 42533. The reversal of 42513 is 31524.

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

It is not a de Polignac number, because 42513 - 2² = 42509 is a prime.

It is a Curzon number.

It is a nialpdrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 42492 and 42501.

It is not an unprimeable number, because it can be changed into a prime (42533) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 81 + ... + 302.

It is an arithmetic number, because the mean of its divisors is an integer number (7296).

2⁴²⁵¹³ is an apocalyptic number.

It is an amenable number.

42513 is a deficient number, since it is larger than the sum of its proper divisors (15855).

42513 is a wasteful number, since it uses less digits than its factorization.

42513 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 423.

The product of its digits is 120, while the sum is 15.

The square root of 42513 is about 206.1868085014. The cubic root of 42513 is about 34.9012180646.

It can be divided in two parts, 42 and 513, that added together give a palindrome (555).

The spelling of 42513 in words is "forty-two thousand, five hundred thirteen".