252551544 has 128 divisors (see below), whose sum is σ = 756449280. Its totient is φ = 68745600.

The previous prime is 252551543. The next prime is 252551549. The reversal of 252551544 is 445155252.

252551544 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252551543) 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, 369427 + ... + 370109.

It is an arithmetic number, because the mean of its divisors is an integer number (5909760).

Almost surely, 2^252551544 is an apocalyptic number.

252551544 is a gapful number since it is divisible by the number (24) 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 252551544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378224640).

252551544 is an abundant number, since it is smaller than the sum of its proper divisors (503897736).

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

252551544 is a wasteful number, since it uses less digits than its factorization.

252551544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 801 (or 797 counting only the distinct ones).

The product of its digits is 40000, while the sum is 33.

The square root of 252551544 is about 15891.8703745028. The cubic root of 252551544 is about 632.0964375083.

The spelling of 252551544 in words is "two hundred fifty-two million, five hundred fifty-one thousand, five hundred forty-four".