252034056000 has 168 divisors, whose sum is σ = 901568081544. Its totient is φ = 67209062400.

The previous prime is 252034055927. The next prime is 252034056037. The reversal of 252034056000 is 650430252.

252034056000 is a `hidden beast` number, since 2 + 5 + 20 + 34 + 0 + 5 + 600 + 0 = 666.

252034056000 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 29876431104 + 222157624896 = 172848^2 + 471336^2 .

It is a super-2 number, since 2×252034056000² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1678237 + ... + 1822236.

Almost surely, 2^252034056000 is an apocalyptic number.

252034056000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

252034056000 is an abundant number, since it is smaller than the sum of its proper divisors (649534025544).

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

252034056000 is a wasteful number, since it uses less digits than its factorization.

252034056000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3500506 (or 3500483 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

Adding to 252034056000 its reverse (650430252), we get a palindrome (252684486252).

The spelling of 252034056000 in words is "two hundred fifty-two billion, thirty-four million, fifty-six thousand".