47654214810509 has 2 divisors, whose sum is σ = 47654214810510. Its totient is φ = 47654214810508.

The previous prime is 47654214810331. The next prime is 47654214810511. The reversal of 47654214810509 is 90501841245674.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 45638604253225 + 2015610557284 = 6755635^2 + 1419722^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-47654214810509 is a prime.

It is a super-3 number, since 3×47654214810509³ (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Sophie Germain prime.

Together with 47654214810511, it forms a pair of twin primes.

It is a Chen 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 (47654214840509) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 23827107405254 + 23827107405255.

It is an arithmetic number, because the mean of its divisors is an integer number (23827107405255).

Almost surely, 2^{47654214810509} is an apocalyptic number.

It is an amenable number.

47654214810509 is a deficient number, since it is larger than the sum of its proper divisors (1).

47654214810509 is an equidigital number, since it uses as much as digits as its factorization.

47654214810509 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9676800, while the sum is 56.

The spelling of 47654214810509 in words is "forty-seven trillion, six hundred fifty-four billion, two hundred fourteen million, eight hundred ten thousand, five hundred nine".