10172564893 has 2 divisors, whose sum is σ = 10172564894. Its totient is φ = 10172564892.

The previous prime is 10172564863. The next prime is 10172564939. The reversal of 10172564893 is 39846527101.

10172564893 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an a-pointer prime, because the next prime (10172564939) can be obtained adding 10172564893 to its sum of digits (46).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 5244946084 + 4927618809 = 72422^2 + 70197^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10172564893 is a prime.

It is a super-2 number, since 2×10172564893² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10172564863) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5086282446 + 5086282447.

It is an arithmetic number, because the mean of its divisors is an integer number (5086282447).

It is a 2-persistent number, because it is pandigital, and so is 2⋅10172564893 = 20345129786, but 3⋅10172564893 = 30517694679 is not.

Almost surely, 2^10172564893 is an apocalyptic number.

It is an amenable number.

10172564893 is a deficient number, since it is larger than the sum of its proper divisors (1).

10172564893 is an equidigital number, since it uses as much as digits as its factorization.

10172564893 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 362880, while the sum is 46.

The spelling of 10172564893 in words is "ten billion, one hundred seventy-two million, five hundred sixty-four thousand, eight hundred ninety-three".