9872152517 has 2 divisors, whose sum is σ = 9872152518. Its totient is φ = 9872152516.

The previous prime is 9872152439. The next prime is 9872152519. The reversal of 9872152517 is 7152512789.

9872152517 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7231631521 + 2640520996 = 85039^2 + 51386^2 .

It is a cyclic number.

It is not a de Polignac number, because 9872152517 - 2¹⁸ = 9871890373 is a prime.

Together with 9872152519, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (9872152519) 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, 4936076258 + 4936076259.

It is an arithmetic number, because the mean of its divisors is an integer number (4936076259).

Almost surely, 2^9872152517 is an apocalyptic number.

It is an amenable number.

9872152517 is a deficient number, since it is larger than the sum of its proper divisors (1).

9872152517 is an equidigital number, since it uses as much as digits as its factorization.

9872152517 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 352800, while the sum is 47.

The square root of 9872152517 is about 99358.7062969320. The cubic root of 9872152517 is about 2145.2139811125.

The spelling of 9872152517 in words is "nine billion, eight hundred seventy-two million, one hundred fifty-two thousand, five hundred seventeen".