252123002334 has 96 divisors (see below), whose sum is σ = 643584464640. Its totient is φ = 69844000896.

The previous prime is 252123002321. The next prime is 252123002371. The reversal of 252123002334 is 433200321252.

252123002334 is a `hidden beast` number, since 2 + 5 + 21 + 2 + 300 + 2 + 334 = 666.

252123002334 is digitally balanced in base 7, 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 = 252123002298 and 252123002307.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 310389 + ... + 774975.

It is an arithmetic number, because the mean of its divisors is an integer number (6704004840).

Almost surely, 2^252123002334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252123002334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321792232320).

252123002334 is an abundant number, since it is smaller than the sum of its proper divisors (391461462306).

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

252123002334 is a wasteful number, since it uses less digits than its factorization.

252123002334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 464734 (or 464731 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

Adding to 252123002334 its reverse (433200321252), we get a palindrome (685323323586).

The spelling of 252123002334 in words is "two hundred fifty-two billion, one hundred twenty-three million, two thousand, three hundred thirty-four".