5005072512 has 384 divisors, whose sum is σ = 16772961600. Its totient is φ = 1457049600.

The previous prime is 5005072489. The next prime is 5005072517. The reversal of 5005072512 is 2152705005.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (5005072517) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36533308 + ... + 36533444.

Almost surely, 2^5005072512 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 5005072512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8386480800).

5005072512 is an abundant number, since it is smaller than the sum of its proper divisors (11767889088).

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

5005072512 is a wasteful number, since it uses less digits than its factorization.

5005072512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 3500, while the sum is 27.

The square root of 5005072512 is about 70746.5371025324. The cubic root of 5005072512 is about 1710.5540094727.

Adding to 5005072512 its reverse (2152705005), we get a palindrome (7157777517).

The spelling of 5005072512 in words is "five billion, five million, seventy-two thousand, five hundred twelve".