5233434624 has 336 divisors, whose sum is σ = 17174626560. Its totient is φ = 1579253760.

The previous prime is 5233434617. The next prime is 5233434629. The reversal of 5233434624 is 4264343325.

5233434624 is a `hidden beast` number, since 5 + 23 + 3 + 4 + 3 + 4 + 624 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5233434629) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21897097 + ... + 21897335.

It is an arithmetic number, because the mean of its divisors is an integer number (51114960).

Almost surely, 2^5233434624 is an apocalyptic number.

5233434624 is a gapful number since it is divisible by the number (54) 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 5233434624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8587313280).

5233434624 is an abundant number, since it is smaller than the sum of its proper divisors (11941191936).

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

5233434624 is an equidigital number, since it uses as much as digits as its factorization.

5233434624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291 (or 255 counting only the distinct ones).

The product of its digits is 207360, while the sum is 36.

The square root of 5233434624 is about 72342.4814614484. The cubic root of 5233434624 is about 1736.1834063343.

Adding to 5233434624 its reverse (4264343325), we get a palindrome (9497777949).

The spelling of 5233434624 in words is "five billion, two hundred thirty-three million, four hundred thirty-four thousand, six hundred twenty-four".