252001152 has 256 divisors, whose sum is σ = 822528000. Its totient is φ = 75479040.

The previous prime is 252001121. The next prime is 252001153. The reversal of 252001152 is 251100252.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252001153) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3189849 + ... + 3189927.

It is an arithmetic number, because the mean of its divisors is an integer number (3213000).

Almost surely, 2^252001152 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 252001152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411264000).

252001152 is an abundant number, since it is smaller than the sum of its proper divisors (570526848).

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

252001152 is a wasteful number, since it uses less digits than its factorization.

252001152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 252001152 is about 15874.5441509355. The cubic root of 252001152 is about 631.6369222571.

The spelling of 252001152 in words is "two hundred fifty-two million, one thousand, one hundred fifty-two".