5011350624 has 288 divisors, whose sum is σ = 17567746560. Its totient is φ = 1322956800.

The previous prime is 5011350623. The next prime is 5011350689. The reversal of 5011350624 is 4260531105.

5011350624 is a `hidden beast` number, since 5 + 0 + 1 + 1 + 35 + 0 + 624 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×5011350624² = 50227270153330378752, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5011350623) 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 47 ways as a sum of consecutive naturals, for example, 1568869 + ... + 1572059.

It is an arithmetic number, because the mean of its divisors is an integer number (60999120).

Almost surely, 2^5011350624 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 5011350624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8783873280).

5011350624 is an abundant number, since it is smaller than the sum of its proper divisors (12556395936).

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

5011350624 is a wasteful number, since it uses less digits than its factorization.

5011350624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3274 (or 3263 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 5011350624 is about 70790.8936516555. The cubic root of 5011350624 is about 1711.2689216995.

Adding to 5011350624 its reverse (4260531105), we get a palindrome (9271881729).

The spelling of 5011350624 in words is "five billion, eleven million, three hundred fifty thousand, six hundred twenty-four".