5106117623256 has 80 divisors (see below), whose sum is σ = 15402000121200. Its totient is φ = 1571113112256.

The previous prime is 5106117623251. The next prime is 5106117623267. The reversal of 5106117623256 is 6523267116015.

5106117623256 is a `hidden beast` number, since 5 + 1 + 0 + 6 + 1 + 17 + 623 + 2 + 5 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5106117623251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 303061236 + ... + 303078083.

It is an arithmetic number, because the mean of its divisors is an integer number (192525001515).

Almost surely, 2^{5106117623256} is an apocalyptic number.

It is an amenable number.

5106117623256 is an abundant number, since it is smaller than the sum of its proper divisors (10295882497944).

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

5106117623256 is a wasteful number, since it uses less digits than its factorization.

5106117623256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 606139350 (or 606139337 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 5106117623256 in words is "five trillion, one hundred six billion, one hundred seventeen million, six hundred twenty-three thousand, two hundred fifty-six".