252013950 has 192 divisors, whose sum is σ = 749952000. Its totient is φ = 62000640.

The previous prime is 252013907. The next prime is 252013961. The reversal of 252013950 is 59310252.

252013950 is a `hidden beast` number, since 2 + 520 + 139 + 5 + 0 = 666.

252013950 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-2 number, since 2×252013950² = 127022061989205000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1812981 + ... + 1813119.

It is an arithmetic number, because the mean of its divisors is an integer number (3906000).

Almost surely, 2^252013950 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252013950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374976000).

252013950 is an abundant number, since it is smaller than the sum of its proper divisors (497938050).

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

252013950 is a wasteful number, since it uses less digits than its factorization.

252013950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 252013950 is about 15874.9472440068. The cubic root of 252013950 is about 631.6476147379.

The spelling of 252013950 in words is "two hundred fifty-two million, thirteen thousand, nine hundred fifty".