5213186829312 has 528 divisors, whose sum is σ = 17510557053696. Its totient is φ = 1349760614400.

The previous prime is 5213186829307. The next prime is 5213186829313. The reversal of 5213186829312 is 2139286813125.

It is a tau number, because it is divible by the number of its divisors (528).

It is not an unprimeable number, because it can be changed into a prime (5213186829313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 861253678 + ... + 861259730.

Almost surely, 2^{5213186829312} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5213186829312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8755278526848).

5213186829312 is an abundant number, since it is smaller than the sum of its proper divisors (12297370224384).

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

5213186829312 is a wasteful number, since it uses less digits than its factorization.

5213186829312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6436 (or 6407 counting only the distinct ones).

The product of its digits is 1244160, while the sum is 51.

The spelling of 5213186829312 in words is "five trillion, two hundred thirteen billion, one hundred eighty-six million, eight hundred twenty-nine thousand, three hundred twelve".