252606042 has 96 divisors (see below), whose sum is σ = 616412160. Its totient is φ = 74234880.

The previous prime is 252606019. The next prime is 252606049. The reversal of 252606042 is 240606252.

252606042 is a `hidden beast` number, since 2 + 52 + 6 + 0 + 604 + 2 = 666.

252606042 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 252605997 and 252606015.

It is not an unprimeable number, because it can be changed into a prime (252606049) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 703459 + ... + 703817.

It is an arithmetic number, because the mean of its divisors is an integer number (6420960).

Almost surely, 2^252606042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252606042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308206080).

252606042 is an abundant number, since it is smaller than the sum of its proper divisors (363806118).

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

252606042 is a wasteful number, since it uses less digits than its factorization.

252606042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 508 (or 505 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 252606042 is about 15893.5849322927. The cubic root of 252606042 is about 632.1419008535.

The spelling of 252606042 in words is "two hundred fifty-two million, six hundred six thousand, forty-two".