5631213824 has 72 divisors (see below), whose sum is σ = 11936980440. Its totient is φ = 2642116608.

The previous prime is 5631213821. The next prime is 5631213827. The reversal of 5631213824 is 4283121365.

It is an interprime number because it is at equal distance from previous prime (5631213821) and next prime (5631213827).

It can be written as a sum of positive squares in 4 ways, for example, as 354644224 + 5276569600 = 18832^2 + 72640^2 .

It is not an unprimeable number, because it can be changed into a prime (5631213821) 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, 1621562 + ... + 1625030.

It is an arithmetic number, because the mean of its divisors is an integer number (165791395).

Almost surely, 2^5631213824 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 5631213824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5968490220).

5631213824 is an abundant number, since it is smaller than the sum of its proper divisors (6305766616).

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

5631213824 is a wasteful number, since it uses less digits than its factorization.

5631213824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3875 (or 3861 counting only the distinct ones).

The product of its digits is 34560, while the sum is 35.

The square root of 5631213824 is about 75041.4140591714. The cubic root of 5631213824 is about 1779.1012826291.

The spelling of 5631213824 in words is "five billion, six hundred thirty-one million, two hundred thirteen thousand, eight hundred twenty-four".