2705904115001 has 2 divisors, whose sum is σ = 2705904115002. Its totient is φ = 2705904115000.

The previous prime is 2705904114983. The next prime is 2705904115037. The reversal of 2705904115001 is 1005114095072.

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., 1688377989376 + 1017526125625 = 1299376^2 + 1008725^2 .

It is a cyclic number.

It is not a de Polignac number, because 2705904115001 - 2¹⁸ = 2705903852857 is a prime.

It is not a weakly prime, because it can be changed into another prime (2705906115001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1352952057500 + 1352952057501.

It is an arithmetic number, because the mean of its divisors is an integer number (1352952057501).

Almost surely, 2^{2705904115001} is an apocalyptic number.

It is an amenable number.

2705904115001 is a deficient number, since it is larger than the sum of its proper divisors (1).

2705904115001 is an equidigital number, since it uses as much as digits as its factorization.

2705904115001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12600, while the sum is 35.

The spelling of 2705904115001 in words is "two trillion, seven hundred five billion, nine hundred four million, one hundred fifteen thousand, one".