252444000534 has 64 divisors (see below), whose sum is σ = 555603459840. Its totient is φ = 76461739200.

The previous prime is 252444000533. The next prime is 252444000563. The reversal of 252444000534 is 435000444252.

252444000534 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×252444000534² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 252444000495 and 252444000504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252444000533) 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 31 ways as a sum of consecutive naturals, for example, 20126437 + ... + 20138975.

It is an arithmetic number, because the mean of its divisors is an integer number (8681304060).

Almost surely, 2^252444000534 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252444000534, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277801729920).

252444000534 is an abundant number, since it is smaller than the sum of its proper divisors (303159459306).

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

252444000534 is a wasteful number, since it uses less digits than its factorization.

252444000534 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15098 (or 15076 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 33.

Adding to 252444000534 its reverse (435000444252), we get a palindrome (687444444786).

The spelling of 252444000534 in words is "two hundred fifty-two billion, four hundred forty-four million, five hundred thirty-four", and thus it is an aban number.