42516252 has 144 divisors (see below), whose sum is σ = 123282432. Its totient is φ = 12752640.

The previous prime is 42516251. The next prime is 42516301. The reversal of 42516252 is 25261524.

42516252 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

Its product of digits (4800) is a multiple of the sum of its prime factors (150).

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42516251) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 512203 + ... + 512285.

It is an arithmetic number, because the mean of its divisors is an integer number (856128).

Almost surely, 2^42516252 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42516252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61641216).

42516252 is an abundant number, since it is smaller than the sum of its proper divisors (80766180).

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

42516252 is a wasteful number, since it uses less digits than its factorization.

42516252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 136 counting only the distinct ones).

The product of its digits is 4800, while the sum is 27.

The square root of 42516252 is about 6520.4487575626. The cubic root of 42516252 is about 349.0210795608.

Adding to 42516252 its reverse (25261524), we get a palindrome (67777776).

The spelling of 42516252 in words is "forty-two million, five hundred sixteen thousand, two hundred fifty-two".