252558144 has 84 divisors (see below), whose sum is σ = 737660196. Its totient is φ = 82587648.

The previous prime is 252558139. The next prime is 252558149. The reversal of 252558144 is 441855252.

252558144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (252558139) and next prime (252558149).

It can be written as a sum of positive squares in 2 ways, for example, as 187142400 + 65415744 = 13680^2 + 8088^2 .

It is a super-2 number, since 2×252558144² = 127571232201449472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 252558099 and 252558108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252558149) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26392 + ... + 34664.

It is an arithmetic number, because the mean of its divisors is an integer number (8781669).

Almost surely, 2^252558144 is an apocalyptic number.

252558144 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 252558144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368830098).

252558144 is an abundant number, since it is smaller than the sum of its proper divisors (485102052).

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

252558144 is a wasteful number, since it uses less digits than its factorization.

252558144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8344 (or 8331 counting only the distinct ones).

The product of its digits is 64000, while the sum is 36.

The square root of 252558144 is about 15892.0780264885. The cubic root of 252558144 is about 632.1019437112.

The spelling of 252558144 in words is "two hundred fifty-two million, five hundred fifty-eight thousand, one hundred forty-four".