288807105787661 has 2 divisors, whose sum is σ = 288807105787662. Its totient is φ = 288807105787660.

The previous prime is 288807105787621. The next prime is 288807105787663. The reversal of 288807105787661 is 166787501708882.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 279420811333225 + 9386294454436 = 16715885^2 + 3063706^2 .

It is a cyclic number.

It is not a de Polignac number, because 288807105787661 - 2¹⁴ = 288807105771277 is a prime.

Together with 288807105787663, 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 (288807105787663) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 144403552893830 + 144403552893831.

It is an arithmetic number, because the mean of its divisors is an integer number (144403552893831).

Almost surely, 2^{288807105787661} is an apocalyptic number.

It is an amenable number.

288807105787661 is a deficient number, since it is larger than the sum of its proper divisors (1).

288807105787661 is an equidigital number, since it uses as much as digits as its factorization.

288807105787661 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 505774080, while the sum is 74.

The spelling of 288807105787661 in words is "two hundred eighty-eight trillion, eight hundred seven billion, one hundred five million, seven hundred eighty-seven thousand, six hundred sixty-one".