532013344000 has 144 divisors (see below), whose sum is σ = 1326290893200. Its totient is φ = 212648140800.

The previous prime is 532013343977. The next prime is 532013344063. The reversal of 532013344000 is 443310235.

It can be written as a sum of positive squares in 8 ways, for example, as 345292563456 + 186720780544 = 587616^2 + 432112^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49562634 + ... + 49573366.

It is an arithmetic number, because the mean of its divisors is an integer number (9210353425).

Almost surely, 2^532013344000 is an apocalyptic number.

532013344000 is a gapful number since it is divisible by the number (50) 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 532013344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (663145446600).

532013344000 is an abundant number, since it is smaller than the sum of its proper divisors (794277549200).

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

532013344000 is a wasteful number, since it uses less digits than its factorization.

532013344000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12313 (or 12289 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 25.

Adding to 532013344000 its reverse (443310235), we get a palindrome (532456654235).

The spelling of 532013344000 in words is "five hundred thirty-two billion, thirteen million, three hundred forty-four thousand".