5106005605129 has 16 divisors (see below), whose sum is σ = 5998738919040. Its totient is φ = 4284706383360.

The previous prime is 5106005605091. The next prime is 5106005605237. The reversal of 5106005605129 is 9215065006015.

It is a de Polignac number, because none of the positive numbers 2^k-5106005605129 is a prime.

It is a super-2 number, since 2×5106005605129² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 5106005605091 and 5106005605100.

It is not an unprimeable number, because it can be changed into a prime (5106005615129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14760652 + ... + 15102610.

It is an arithmetic number, because the mean of its divisors is an integer number (374921182440).

Almost surely, 2^{5106005605129} is an apocalyptic number.

It is an amenable number.

5106005605129 is a deficient number, since it is larger than the sum of its proper divisors (892733313911).

5106005605129 is a wasteful number, since it uses less digits than its factorization.

5106005605129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 446400.

The product of its (nonzero) digits is 81000, while the sum is 40.

It can be divided in two parts, 510600 and 5605129, that added together give a square (6115729 = 2473²).

The spelling of 5106005605129 in words is "five trillion, one hundred six billion, five million, six hundred five thousand, one hundred twenty-nine".