252933058000 has 160 divisors (see below), whose sum is σ = 699855706368. Its totient is φ = 86609088000.

The previous prime is 252933057983. The next prime is 252933058031. The reversal of 252933058000 is 850339252.

252933058000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×252933058000³ (a number of 35 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11342862 + ... + 11365138.

Almost surely, 2^252933058000 is an apocalyptic number.

252933058000 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 252933058000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349927853184).

252933058000 is an abundant number, since it is smaller than the sum of its proper divisors (446922648368).

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

252933058000 is a wasteful number, since it uses less digits than its factorization.

252933058000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23118 (or 23102 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 37.

The spelling of 252933058000 in words is "two hundred fifty-two billion, nine hundred thirty-three million, fifty-eight thousand".