2506943388289 has 2 divisors, whose sum is σ = 2506943388290. Its totient is φ = 2506943388288.

The previous prime is 2506943388253. The next prime is 2506943388293. The reversal of 2506943388289 is 9828833496052.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2026659737664 + 480283650625 = 1423608^2 + 693025^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2506943388289 is a prime.

It is not a weakly prime, because it can be changed into another prime (2506943380289) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1253471694144 + 1253471694145.

It is an arithmetic number, because the mean of its divisors is an integer number (1253471694145).

Almost surely, 2^{2506943388289} is an apocalyptic number.

It is an amenable number.

2506943388289 is a deficient number, since it is larger than the sum of its proper divisors (1).

2506943388289 is an equidigital number, since it uses as much as digits as its factorization.

2506943388289 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 179159040, while the sum is 67.

The spelling of 2506943388289 in words is "two trillion, five hundred six billion, nine hundred forty-three million, three hundred eighty-eight thousand, two hundred eighty-nine".