5105505006 has 80 divisors (see below), whose sum is σ = 13105217664. Its totient is φ = 1455279696.

The previous prime is 5105505001. The next prime is 5105505019. The reversal of 5105505006 is 6005055015.

5105505006 is a `hidden beast` number, since 5 + 105 + 50 + 500 + 6 = 666.

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

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5105505001) 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, 497281 + ... + 507443.

Almost surely, 2^5105505006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5105505006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6552608832).

5105505006 is an abundant number, since it is smaller than the sum of its proper divisors (7999712658).

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

5105505006 is a wasteful number, since it uses less digits than its factorization.

5105505006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10627 (or 10618 counting only the distinct ones).

The product of its (nonzero) digits is 3750, while the sum is 27.

The square root of 5105505006 is about 71452.8166414733. The cubic root of 5105505006 is about 1721.9197294103.

The spelling of 5105505006 in words is "five billion, one hundred five million, five hundred five thousand, six".