2010249047561 has 2 divisors, whose sum is σ = 2010249047562. Its totient is φ = 2010249047560.

The previous prime is 2010249047551. The next prime is 2010249047623. The reversal of 2010249047561 is 1657409420102.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1381647439225 + 628601608336 = 1175435^2 + 792844^2 .

It is a cyclic number.

It is not a de Polignac number, because 2010249047561 - 2⁶ = 2010249047497 is a prime.

It is a super-2 number, since 2×2010249047561² (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2010249047501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1005124523780 + 1005124523781.

It is an arithmetic number, because the mean of its divisors is an integer number (1005124523781).

Almost surely, 2^{2010249047561} is an apocalyptic number.

It is an amenable number.

2010249047561 is a deficient number, since it is larger than the sum of its proper divisors (1).

2010249047561 is an equidigital number, since it uses as much as digits as its factorization.

2010249047561 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 120960, while the sum is 41.

The spelling of 2010249047561 in words is "two trillion, ten billion, two hundred forty-nine million, forty-seven thousand, five hundred sixty-one".