5613124608 has 704 divisors, whose sum is σ = 21569157120. Its totient is φ = 1401421824.

The previous prime is 5613124607. The next prime is 5613124717. The reversal of 5613124608 is 8064213165.

It is a happy number.

5613124608 is a `hidden beast` number, since 561 + 31 + 2 + 4 + 60 + 8 = 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 (5613124607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 57867216 + ... + 57867312.

Almost surely, 2^5613124608 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 5613124608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10784578560).

5613124608 is an abundant number, since it is smaller than the sum of its proper divisors (15956032512).

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

5613124608 is a wasteful number, since it uses less digits than its factorization.

5613124608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 5613124608 is about 74920.7888906677. The cubic root of 5613124608 is about 1777.1942296589.

The spelling of 5613124608 in words is "five billion, six hundred thirteen million, one hundred twenty-four thousand, six hundred eight".