2100052627417 has 2 divisors, whose sum is σ = 2100052627418. Its totient is φ = 2100052627416.

The previous prime is 2100052627373. The next prime is 2100052627423. The reversal of 2100052627417 is 7147262500012.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2033878151881 + 66174475536 = 1426141^2 + 257244^2 .

It is a cyclic number.

It is not a de Polignac number, because 2100052627417 - 2¹¹ = 2100052625369 is a prime.

It is not a weakly prime, because it can be changed into another prime (2100052627427) 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, 1050026313708 + 1050026313709.

It is an arithmetic number, because the mean of its divisors is an integer number (1050026313709).

Almost surely, 2^{2100052627417} is an apocalyptic number.

It is an amenable number.

2100052627417 is a deficient number, since it is larger than the sum of its proper divisors (1).

2100052627417 is an equidigital number, since it uses as much as digits as its factorization.

2100052627417 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 47040, while the sum is 37.

The spelling of 2100052627417 in words is "two trillion, one hundred billion, fifty-two million, six hundred twenty-seven thousand, four hundred seventeen".