5100506105605 has 16 divisors (see below), whose sum is σ = 6122462235120. Its totient is φ = 4079168524288.

The previous prime is 5100506105489. The next prime is 5100506105677. The reversal of 5100506105605 is 5065016050015.

It can be written as a sum of positive squares in 8 ways, for example, as 1702375172001 + 3398130933604 = 1304751^2 + 1843402^2 .

It is a cyclic number.

It is not a de Polignac number, because 5100506105605 - 2¹¹ = 5100506103557 is a prime.

It is a super-3 number, since 3×5100506105605³ (a number of 39 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 426137061 + ... + 426149029.

It is an arithmetic number, because the mean of its divisors is an integer number (382653889695).

Almost surely, 2^{5100506105605} is an apocalyptic number.

It is an amenable number.

5100506105605 is a deficient number, since it is larger than the sum of its proper divisors (1021956129515).

5100506105605 is a wasteful number, since it uses less digits than its factorization.

5100506105605 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30680.

The product of its (nonzero) digits is 22500, while the sum is 34.

The spelling of 5100506105605 in words is "five trillion, one hundred billion, five hundred six million, one hundred five thousand, six hundred five".