6585660401 has 2 divisors, whose sum is σ = 6585660402. Its totient is φ = 6585660400.

The previous prime is 6585660397. The next prime is 6585660407. The reversal of 6585660401 is 1040665856.

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., 6218899600 + 366760801 = 78860^2 + 19151^2 .

It is a cyclic number.

It is not a de Polignac number, because 6585660401 - 2² = 6585660397 is a prime.

It is not a weakly prime, because it can be changed into another prime (6585660407) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3292830200 + 3292830201.

It is an arithmetic number, because the mean of its divisors is an integer number (3292830201).

Almost surely, 2^6585660401 is an apocalyptic number.

It is an amenable number.

6585660401 is a deficient number, since it is larger than the sum of its proper divisors (1).

6585660401 is an equidigital number, since it uses as much as digits as its factorization.

6585660401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 172800, while the sum is 41.

The square root of 6585660401 is about 81152.0819264669. The cubic root of 6585660401 is about 1874.4179907142.

The spelling of 6585660401 in words is "six billion, five hundred eighty-five million, six hundred sixty thousand, four hundred one".