2585973497 has 2 divisors, whose sum is σ = 2585973498. Its totient is φ = 2585973496.

The previous prime is 2585973491. The next prime is 2585973541. The reversal of 2585973497 is 7943795852.

2585973497 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., 1693816336 + 892157161 = 41156^2 + 29869^2 .

It is a cyclic number.

It is not a de Polignac number, because 2585973497 - 2¹⁴ = 2585957113 is a prime.

It is not a weakly prime, because it can be changed into another prime (2585973491) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1292986748 + 1292986749.

It is an arithmetic number, because the mean of its divisors is an integer number (1292986749).

Almost surely, 2^2585973497 is an apocalyptic number.

It is an amenable number.

2585973497 is a deficient number, since it is larger than the sum of its proper divisors (1).

2585973497 is an equidigital number, since it uses as much as digits as its factorization.

2585973497 is an evil number, because the sum of its binary digits is even.

The product of its digits is 19051200, while the sum is 59.

The square root of 2585973497 is about 50852.4679538761. The cubic root of 2585973497 is about 1372.5916624747.

The spelling of 2585973497 in words is "two billion, five hundred eighty-five million, nine hundred seventy-three thousand, four hundred ninety-seven".