2064516541001 has 2 divisors, whose sum is σ = 2064516541002. Its totient is φ = 2064516541000.

The previous prime is 2064516540937. The next prime is 2064516541027. The reversal of 2064516541001 is 1001456154602.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1810238393401 + 254278147600 = 1345451^2 + 504260^2 .

It is a cyclic number.

It is not a de Polignac number, because 2064516541001 - 2⁶ = 2064516540937 is a prime.

It is not a weakly prime, because it can be changed into another prime (2064516541081) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1032258270500 + 1032258270501.

It is an arithmetic number, because the mean of its divisors is an integer number (1032258270501).

Almost surely, 2^{2064516541001} is an apocalyptic number.

It is an amenable number.

2064516541001 is a deficient number, since it is larger than the sum of its proper divisors (1).

2064516541001 is an equidigital number, since it uses as much as digits as its factorization.

2064516541001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 28800, while the sum is 35.

The spelling of 2064516541001 in words is "two trillion, sixty-four billion, five hundred sixteen million, five hundred forty-one thousand, one".