252539094528 has 720 divisors, whose sum is σ = 884181355200. Its totient is φ = 69132091392.

The previous prime is 252539094517. The next prime is 252539094547. The reversal of 252539094528 is 825490935252.

It is a happy number.

252539094528 is a `hidden beast` number, since 2 + 5 + 25 + 3 + 9 + 0 + 94 + 528 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 562447648 + ... + 562448096.

It is an arithmetic number, because the mean of its divisors is an integer number (1228029660).

Almost surely, 2^252539094528 is an apocalyptic number.

252539094528 is a gapful number since it is divisible by the number (28) 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 252539094528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (442090677600).

252539094528 is an abundant number, since it is smaller than the sum of its proper divisors (631642260672).

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

252539094528 is a wasteful number, since it uses less digits than its factorization.

252539094528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 587 (or 561 counting only the distinct ones).

The product of its (nonzero) digits is 7776000, while the sum is 54.

The spelling of 252539094528 in words is "two hundred fifty-two billion, five hundred thirty-nine million, ninety-four thousand, five hundred twenty-eight".