252152250368 has 162 divisors, whose sum is σ = 539632637649. Its totient is φ = 117804367872.

The previous prime is 252152250347. The next prime is 252152250421. The reversal of 252152250368 is 863052251252.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 250992984064 + 1159266304 = 500992^2 + 34048^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=355072.

It is a super-2 number, since 2×252152250368² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3454140380 + ... + 3454140452.

Almost surely, 2^252152250368 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 252152250368

252152250368 is an abundant number, since it is smaller than the sum of its proper divisors (287480387281).

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

252152250368 is an frugal number, since it uses more digits than its factorization.

252152250368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 41.

The spelling of 252152250368 in words is "two hundred fifty-two billion, one hundred fifty-two million, two hundred fifty thousand, three hundred sixty-eight".