2948759256617 has 2 divisors, whose sum is σ = 2948759256618. Its totient is φ = 2948759256616.

The previous prime is 2948759256613. The next prime is 2948759256643. The reversal of 2948759256617 is 7166529578492.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2948325950761 + 433305856 = 1717069^2 + 20816^2 .

It is a cyclic number.

It is not a de Polignac number, because 2948759256617 - 2² = 2948759256613 is a prime.

It is not a weakly prime, because it can be changed into another prime (2948759256613) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1474379628308 + 1474379628309.

It is an arithmetic number, because the mean of its divisors is an integer number (1474379628309).

Almost surely, 2^{2948759256617} is an apocalyptic number.

It is an amenable number.

2948759256617 is a deficient number, since it is larger than the sum of its proper divisors (1).

2948759256617 is an equidigital number, since it uses as much as digits as its factorization.

2948759256617 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 457228800, while the sum is 71.

The spelling of 2948759256617 in words is "two trillion, nine hundred forty-eight billion, seven hundred fifty-nine million, two hundred fifty-six thousand, six hundred seventeen".