4533141312 has 252 divisors, whose sum is σ = 15368425956. Its totient is φ = 1273466880.

The previous prime is 4533141311. The next prime is 4533141337. The reversal of 4533141312 is 2131413354.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 392990976 + 4140150336 = 19824^2 + 64344^2 .

It is a tau number, because it is divible by the number of its divisors (252).

It is a super-2 number, since 2×4533141312² = 41098740309122162688, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4533141311) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1720348 + ... + 1722980.

Almost surely, 2^4533141312 is an apocalyptic number.

4533141312 is a gapful number since it is divisible by the number (42) 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 4533141312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7684212978).

4533141312 is an abundant number, since it is smaller than the sum of its proper divisors (10835284644).

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

4533141312 is a wasteful number, since it uses less digits than its factorization.

4533141312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2726 (or 2706 counting only the distinct ones).

The product of its digits is 4320, while the sum is 27.

The square root of 4533141312 is about 67328.6069364278. The cubic root of 4533141312 is about 1655.0066856854.

Adding to 4533141312 its reverse (2131413354), we get a palindrome (6664554666).

The spelling of 4533141312 in words is "four billion, five hundred thirty-three million, one hundred forty-one thousand, three hundred twelve".