252516544 has 56 divisors (see below), whose sum is σ = 579656448. Its totient is φ = 106901760.

The previous prime is 252516529. The next prime is 252516569. The reversal of 252516544 is 445615252.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33789 + ... + 40579.

It is an arithmetic number, because the mean of its divisors is an integer number (10351008).

Almost surely, 2^252516544 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252516544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289828224).

252516544 is an abundant number, since it is smaller than the sum of its proper divisors (327139904).

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

252516544 is an equidigital number, since it uses as much as digits as its factorization.

252516544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6893 (or 6883 counting only the distinct ones).

The product of its digits is 48000, while the sum is 34.

The square root of 252516544 is about 15890.7691443806. The cubic root of 252516544 is about 632.0672363440.

The spelling of 252516544 in words is "two hundred fifty-two million, five hundred sixteen thousand, five hundred forty-four".