2585520517 has 2 divisors, whose sum is σ = 2585520518. Its totient is φ = 2585520516.

The previous prime is 2585520481. The next prime is 2585520583. The reversal of 2585520517 is 7150255852.

2585520517 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2559449281 + 26071236 = 50591^2 + 5106^2 .

It is a cyclic number.

It is not a de Polignac number, because 2585520517 - 2⁷ = 2585520389 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2585520517.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2585520617) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1292760258 + 1292760259.

It is an arithmetic number, because the mean of its divisors is an integer number (1292760259).

Almost surely, 2^2585520517 is an apocalyptic number.

It is an amenable number.

2585520517 is a deficient number, since it is larger than the sum of its proper divisors (1).

2585520517 is an equidigital number, since it uses as much as digits as its factorization.

2585520517 is an evil number, because the sum of its binary digits is even.

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

The square root of 2585520517 is about 50848.0138943499. The cubic root of 2585520517 is about 1372.5115130481.

The spelling of 2585520517 in words is "two billion, five hundred eighty-five million, five hundred twenty thousand, five hundred seventeen".