5172350007006 has 320 divisors, whose sum is σ = 14754560679936. Its totient is φ = 1317448800000.

The previous prime is 5172350006983. The next prime is 5172350007031. The reversal of 5172350007006 is 6007000532715.

5172350007006 is a `hidden beast` number, since 517 + 23 + 50 + 0 + 0 + 70 + 0 + 6 = 666.

It is a super-3 number, since 3×5172350007006³ (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 159 ways as a sum of consecutive naturals, for example, 229860756 + ... + 229883256.

Almost surely, 2^{5172350007006} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5172350007006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7377280339968).

5172350007006 is an abundant number, since it is smaller than the sum of its proper divisors (9582210672930).

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

5172350007006 is a wasteful number, since it uses less digits than its factorization.

5172350007006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23069 (or 23060 counting only the distinct ones).

The product of its (nonzero) digits is 44100, while the sum is 36.

The spelling of 5172350007006 in words is "five trillion, one hundred seventy-two billion, three hundred fifty million, seven thousand, six".