42510 has 32 divisors (see below), whose sum is σ = 110880. Its totient is φ = 10368.

The previous prime is 42509. The next prime is 42533. The reversal of 42510 is 1524.

It is an Ulam number.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 336 + ... + 444.

It is an arithmetic number, because the mean of its divisors is an integer number (3465).

2⁴²⁵¹⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42510, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55440).

42510 is an abundant number, since it is smaller than the sum of its proper divisors (68370).

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

42510 is a wasteful number, since it uses less digits than its factorization.

42510 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132.

The product of its (nonzero) digits is 40, while the sum is 12.

The square root of 42510 is about 206.1795334169. The cubic root of 42510 is about 34.9003970913.

It can be divided in two parts, 425 and 10, that added together give a triangular number (435 = T₂₉).

The spelling of 42510 in words is "forty-two thousand, five hundred ten".