2010777478517 has 2 divisors, whose sum is σ = 2010777478518. Its totient is φ = 2010777478516.

The previous prime is 2010777478433. The next prime is 2010777478537. The reversal of 2010777478517 is 7158747770102.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1880260743076 + 130516735441 = 1371226^2 + 361271^2 .

It is a cyclic number.

It is not a de Polignac number, because 2010777478517 - 2¹⁰ = 2010777477493 is a prime.

It is a super-2 number, since 2×2010777478517² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2010777478537) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1005388739258 + 1005388739259.

It is an arithmetic number, because the mean of its divisors is an integer number (1005388739259).

Almost surely, 2^{2010777478517} is an apocalyptic number.

It is an amenable number.

2010777478517 is a deficient number, since it is larger than the sum of its proper divisors (1).

2010777478517 is an equidigital number, since it uses as much as digits as its factorization.

2010777478517 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5378240, while the sum is 56.

The spelling of 2010777478517 in words is "two trillion, ten billion, seven hundred seventy-seven million, four hundred seventy-eight thousand, five hundred seventeen".