9997687013 has 2 divisors, whose sum is σ = 9997687014. Its totient is φ = 9997687012.

The previous prime is 9997686973. The next prime is 9997687019. The reversal of 9997687013 is 3107867999.

9997687013 = 70702² + 70703².

9997687013 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., 4998914209 + 4998772804 = 70703^2 + 70702^2 .

It is a cyclic number.

It is not a de Polignac number, because 9997687013 - 2¹⁰ = 9997685989 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (9997687019) 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, 4998843506 + 4998843507.

It is an arithmetic number, because the mean of its divisors is an integer number (4998843507).

Almost surely, 2^9997687013 is an apocalyptic number.

9997687013 is the 70703-rd centered square number.

It is an amenable number.

9997687013 is a deficient number, since it is larger than the sum of its proper divisors (1).

9997687013 is an equidigital number, since it uses as much as digits as its factorization.

9997687013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5143824, while the sum is 59.

The square root of 9997687013 is about 99988.4343961840. The cubic root of 9997687013 is about 2154.2685712425.

The spelling of 9997687013 in words is "nine billion, nine hundred ninety-seven million, six hundred eighty-seven thousand, thirteen".