5151648006 has 64 divisors (see below), whose sum is σ = 12320372160. Its totient is φ = 1589690880.

The previous prime is 5151647999. The next prime is 5151648013. The reversal of 5151648006 is 6008461515.

5151648006 is a `hidden beast` number, since 5 + 1 + 5 + 1 + 648 + 0 + 0 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (5151647999) and next prime (5151648013).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10000 + ... + 101996.

It is an arithmetic number, because the mean of its divisors is an integer number (192505815).

Almost surely, 2^5151648006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5151648006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6160186080).

5151648006 is an abundant number, since it is smaller than the sum of its proper divisors (7168724154).

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

5151648006 is a wasteful number, since it uses less digits than its factorization.

5151648006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92086 (or 92080 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 5151648006 is about 71774.9817554836. The cubic root of 5151648006 is about 1727.0916872275.

The spelling of 5151648006 in words is "five billion, one hundred fifty-one million, six hundred forty-eight thousand, six".