533312512000 has 112 divisors (see below), whose sum is σ = 1331069338872. Its totient is φ = 213324595200.

The previous prime is 533312511967. The next prime is 533312512003. The reversal of 533312512000 is 215213335.

It can be written as a sum of positive squares in 4 ways, for example, as 301743673344 + 231568838656 = 549312^2 + 481216^2 .

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

It is not an unprimeable number, because it can be changed into a prime (533312512003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 763594 + ... + 1284406.

Almost surely, 2^533312512000 is an apocalyptic number.

533312512000 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 533312512000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (665534669436).

533312512000 is an abundant number, since it is smaller than the sum of its proper divisors (797756826872).

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

533312512000 is an frugal number, since it uses more digits than its factorization.

533312512000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 520854 (or 520820 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 25.

Adding to 533312512000 its reverse (215213335), we get a palindrome (533527725335).

The spelling of 533312512000 in words is "five hundred thirty-three billion, three hundred twelve million, five hundred twelve thousand".