242125524 has 120 divisors (see below), whose sum is σ = 665640360. Its totient is φ = 76640256.

The previous prime is 242125523. The next prime is 242125537. The reversal of 242125524 is 425521242.

242125524 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 35283600 + 206841924 = 5940^2 + 14382^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242125523) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 685732 + ... + 686084.

It is an arithmetic number, because the mean of its divisors is an integer number (5547003).

Almost surely, 2^242125524 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 242125524, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332820180).

242125524 is an abundant number, since it is smaller than the sum of its proper divisors (423514836).

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

242125524 is a wasteful number, since it uses less digits than its factorization.

242125524 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 471 (or 460 counting only the distinct ones).

The product of its digits is 6400, while the sum is 27.

The square root of 242125524 is about 15560.3831572362. The cubic root of 242125524 is about 623.2756943536.

Adding to 242125524 its reverse (425521242), we get a palindrome (667646766).

The spelling of 242125524 in words is "two hundred forty-two million, one hundred twenty-five thousand, five hundred twenty-four".