2541000001 has 2 divisors, whose sum is σ = 2541000002. Its totient is φ = 2541000000.

The previous prime is 2540999983. The next prime is 2541000019. The reversal of 2541000001 is 1000001452.

It is a balanced prime because it is at equal distance from previous prime (2540999983) and next prime (2541000019).

It can be written as a sum of positive squares in only one way, i.e., 1955408400 + 585591601 = 44220^2 + 24199^2 .

It is a cyclic number.

It is not a de Polignac number, because 2541000001 - 2²⁹ = 2004129089 is a prime.

It is not a weakly prime, because it can be changed into another prime (2541000031) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1270500000 + 1270500001.

It is an arithmetic number, because the mean of its divisors is an integer number (1270500001).

Almost surely, 2^2541000001 is an apocalyptic number.

It is an amenable number.

2541000001 is a deficient number, since it is larger than the sum of its proper divisors (1).

2541000001 is an equidigital number, since it uses as much as digits as its factorization.

2541000001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 40, while the sum is 13.

The square root of 2541000001 is about 50408.3326544332. The cubic root of 2541000001 is about 1364.5880227464.

Adding to 2541000001 its reverse (1000001452), we get a palindrome (3541001453).

The spelling of 2541000001 in words is "two billion, five hundred forty-one million, one", and thus it is an aban number.