5106000005505 has 240 divisors, whose sum is σ = 11225281320000. Its totient is φ = 2207857284864.

The previous prime is 5106000005473. The next prime is 5106000005597. The reversal of 5106000005505 is 5055000006015.

5106000005505 is a `hidden beast` number, since 5 + 1 + 0 + 600 + 0 + 0 + 0 + 5 + 50 + 5 = 666.

It is not a de Polignac number, because 5106000005505 - 2⁵ = 5106000005473 is a prime.

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

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 248468971 + ... + 248489519.

It is an arithmetic number, because the mean of its divisors is an integer number (46772005500).

Almost surely, 2^{5106000005505} is an apocalyptic number.

It is an amenable number.

5106000005505 is an abundant number, since it is smaller than the sum of its proper divisors (6119281314495).

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

5106000005505 is a wasteful number, since it uses less digits than its factorization.

5106000005505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21258 (or 21242 counting only the distinct ones).

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

The spelling of 5106000005505 in words is "five trillion, one hundred six billion, five thousand, five hundred five".