42525133252 has 192 divisors, whose sum is σ = 96313835520. Its totient is φ = 16018560000.

The previous prime is 42525133237. The next prime is 42525133253. The reversal of 42525133252 is 25233152524.

It is not an unprimeable number, because it can be changed into a prime (42525133253) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 41245977 + ... + 41247007.

It is an arithmetic number, because the mean of its divisors is an integer number (501634560).

Almost surely, 2^42525133252 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 42525133252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48156917760).

42525133252 is an abundant number, since it is smaller than the sum of its proper divisors (53788702268).

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

42525133252 is a wasteful number, since it uses less digits than its factorization.

42525133252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1194 (or 1192 counting only the distinct ones).

The product of its digits is 72000, while the sum is 34.

Adding to 42525133252 its reverse (25233152524), we get a palindrome (67758285776).

The spelling of 42525133252 in words is "forty-two billion, five hundred twenty-five million, one hundred thirty-three thousand, two hundred fifty-two".