5006517012 has 120 divisors (see below), whose sum is σ = 15066300480. Its totient is φ = 1420053120.

The previous prime is 5006517001. The next prime is 5006517013. The reversal of 5006517012 is 2107156005.

5006517012 is a `hidden beast` number, since 5 + 0 + 0 + 651 + 7 + 0 + 1 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5006517013) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 307312 + ... + 323192.

It is an arithmetic number, because the mean of its divisors is an integer number (125552504).

Almost surely, 2^5006517012 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 5006517012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7533150240).

5006517012 is an abundant number, since it is smaller than the sum of its proper divisors (10059783468).

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

5006517012 is a wasteful number, since it uses less digits than its factorization.

5006517012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16043 (or 16032 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 27.

The square root of 5006517012 is about 70756.7453462919. The cubic root of 5006517012 is about 1710.7185530494.

The spelling of 5006517012 in words is "five billion, six million, five hundred seventeen thousand, twelve".