5106838672393 has 16 divisors (see below), whose sum is σ = 5161485367440. Its totient is φ = 5052472713216.

The previous prime is 5106838672387. The next prime is 5106838672409. The reversal of 5106838672393 is 3932768386015.

It can be written as a sum of positive squares in 8 ways, for example, as 214107022089 + 4892731650304 = 462717^2 + 2211952^2 .

It is a cyclic number.

It is not a de Polignac number, because 5106838672393 - 2⁵ = 5106838672361 is a prime.

It is a super-3 number, since 3×5106838672393³ (a number of 39 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (5106838678393) 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, 48404343 + ... + 48509731.

It is an arithmetic number, because the mean of its divisors is an integer number (322592835465).

Almost surely, 2^{5106838672393} is an apocalyptic number.

It is an amenable number.

5106838672393 is a deficient number, since it is larger than the sum of its proper divisors (54646695047).

5106838672393 is a wasteful number, since it uses less digits than its factorization.

5106838672393 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106716.

The product of its (nonzero) digits is 39191040, while the sum is 61.

The spelling of 5106838672393 in words is "five trillion, one hundred six billion, eight hundred thirty-eight million, six hundred seventy-two thousand, three hundred ninety-three".