5213414624 has 48 divisors (see below), whose sum is σ = 11218798080. Its totient is φ = 2365119360.

The previous prime is 5213414621. The next prime is 5213414641. The reversal of 5213414624 is 4264143125.

It is a super-2 number, since 2×5213414624² = 54359384083474122752, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5213414621) 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 7 ways as a sum of consecutive naturals, for example, 169937 + ... + 198255.

It is an arithmetic number, because the mean of its divisors is an integer number (233724960).

Almost surely, 2^5213414624 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 5213414624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5609399040).

5213414624 is an abundant number, since it is smaller than the sum of its proper divisors (6005383456).

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

5213414624 is a wasteful number, since it uses less digits than its factorization.

5213414624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28863 (or 28855 counting only the distinct ones).

The product of its digits is 23040, while the sum is 32.

The square root of 5213414624 is about 72203.9792809233. The cubic root of 5213414624 is about 1733.9667098843.

Adding to 5213414624 its reverse (4264143125), we get a palindrome (9477557749).

The spelling of 5213414624 in words is "five billion, two hundred thirteen million, four hundred fourteen thousand, six hundred twenty-four".