2585055217 has 2 divisors, whose sum is σ = 2585055218. Its totient is φ = 2585055216.

The previous prime is 2585055211. The next prime is 2585055223. The reversal of 2585055217 is 7125505852.

It is a balanced prime because it is at equal distance from previous prime (2585055211) and next prime (2585055223).

It can be written as a sum of positive squares in only one way, i.e., 1685595136 + 899460081 = 41056^2 + 29991^2 .

It is a cyclic number.

It is not a de Polignac number, because 2585055217 - 2¹¹ = 2585053169 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2585055217.

It is not a weakly prime, because it can be changed into another prime (2585055211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1292527608 + 1292527609.

It is an arithmetic number, because the mean of its divisors is an integer number (1292527609).

Almost surely, 2^2585055217 is an apocalyptic number.

It is an amenable number.

2585055217 is a deficient number, since it is larger than the sum of its proper divisors (1).

2585055217 is an equidigital number, since it uses as much as digits as its factorization.

2585055217 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 140000, while the sum is 40.

The square root of 2585055217 is about 50843.4382885343. The cubic root of 2585055217 is about 1372.4291739967.

The spelling of 2585055217 in words is "two billion, five hundred eighty-five million, fifty-five thousand, two hundred seventeen".