252005213000 has 128 divisors (see below), whose sum is σ = 600135026400. Its totient is φ = 99021312000.

The previous prime is 252005212919. The next prime is 252005213017. The reversal of 252005213000 is 312500252.

252005213000 is digitally balanced in base 2, 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 16 ways, for example, as 188663397316 + 63341815684 = 434354^2 + 251678^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 57154796 + ... + 57159204.

Almost surely, 2^252005213000 is an apocalyptic number.

252005213000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252005213000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300067513200).

252005213000 is an abundant number, since it is smaller than the sum of its proper divisors (348129813400).

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

252005213000 is a wasteful number, since it uses less digits than its factorization.

252005213000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5428 (or 5414 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 20.

Adding to 252005213000 its reverse (312500252), we get a palindrome (252317713252).

The spelling of 252005213000 in words is "two hundred fifty-two billion, five million, two hundred thirteen thousand".