252542352528 has 80 divisors (see below), whose sum is σ = 726909724800. Its totient is φ = 83946245760.

The previous prime is 252542352527. The next prime is 252542352529. The reversal of 252542352528 is 825253245252.

252542352528 is a `hidden beast` number, since 2 + 5 + 2 + 54 + 23 + 52 + 528 = 666.

252542352528 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 (252542352527) and next prime (252542352529).

It is not an unprimeable number, because it can be changed into a prime (252542352527) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 659103 + ... + 969278.

It is an arithmetic number, because the mean of its divisors is an integer number (9086371560).

Almost surely, 2^252542352528 is an apocalyptic number.

It is an amenable number.

252542352528 is an abundant number, since it is smaller than the sum of its proper divisors (474367372272).

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

252542352528 is a wasteful number, since it uses less digits than its factorization.

252542352528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1628757 (or 1628745 counting only the distinct ones).

The product of its digits is 1920000, while the sum is 45.

The spelling of 252542352528 in words is "two hundred fifty-two billion, five hundred forty-two million, three hundred fifty-two thousand, five hundred twenty-eight".