2585946541 has 2 divisors, whose sum is σ = 2585946542. Its totient is φ = 2585946540.

The previous prime is 2585946523. The next prime is 2585946563. The reversal of 2585946541 is 1456495852.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2386713316 + 199233225 = 48854^2 + 14115^2 .

It is a cyclic number.

It is not a de Polignac number, because 2585946541 - 2²⁷ = 2451728813 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2585946841) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1292973270 + 1292973271.

It is an arithmetic number, because the mean of its divisors is an integer number (1292973271).

Almost surely, 2^2585946541 is an apocalyptic number.

It is an amenable number.

2585946541 is a deficient number, since it is larger than the sum of its proper divisors (1).

2585946541 is an equidigital number, since it uses as much as digits as its factorization.

2585946541 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1728000, while the sum is 49.

The square root of 2585946541 is about 50852.2029119683. The cubic root of 2585946541 is about 1372.5868931929.

The spelling of 2585946541 in words is "two billion, five hundred eighty-five million, nine hundred forty-six thousand, five hundred forty-one".