2585055017 has 2 divisors, whose sum is σ = 2585055018. Its totient is φ = 2585055016.

The previous prime is 2585054999. The next prime is 2585055059. The reversal of 2585055017 is 7105505852.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1831497616 + 753557401 = 42796^2 + 27451^2 .

It is a cyclic number.

It is not a de Polignac number, because 2585055017 - 2¹⁰ = 2585053993 is a prime.

It is not a weakly prime, because it can be changed into another prime (2585055217) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1292527508 + 1292527509.

It is an arithmetic number, because the mean of its divisors is an integer number (1292527509).

Almost surely, 2^2585055017 is an apocalyptic number.

It is an amenable number.

2585055017 is a deficient number, since it is larger than the sum of its proper divisors (1).

2585055017 is an equidigital number, since it uses as much as digits as its factorization.

2585055017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 70000, while the sum is 38.

The square root of 2585055017 is about 50843.4363217122. The cubic root of 2585055017 is about 1372.4291386027.

The spelling of 2585055017 in words is "two billion, five hundred eighty-five million, fifty-five thousand, seventeen".