2585760997 has 2 divisors, whose sum is σ = 2585760998. Its totient is φ = 2585760996.

The previous prime is 2585760971. The next prime is 2585761051. The reversal of 2585760997 is 7990675852.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1559776036 + 1025984961 = 39494^2 + 32031^2 .

It is a cyclic number.

It is not a de Polignac number, because 2585760997 - 2⁷ = 2585760869 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2585760907) 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, 1292880498 + 1292880499.

It is an arithmetic number, because the mean of its divisors is an integer number (1292880499).

Almost surely, 2^2585760997 is an apocalyptic number.

It is an amenable number.

2585760997 is a deficient number, since it is larger than the sum of its proper divisors (1).

2585760997 is an equidigital number, since it uses as much as digits as its factorization.

2585760997 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9525600, while the sum is 58.

The square root of 2585760997 is about 50850.3785334977. The cubic root of 2585760997 is about 1372.5540642912.

The spelling of 2585760997 in words is "two billion, five hundred eighty-five million, seven hundred sixty thousand, nine hundred ninety-seven".