10005775506469 has 2 divisors, whose sum is σ = 10005775506470. Its totient is φ = 10005775506468.

The previous prime is 10005775506439. The next prime is 10005775506521. The reversal of 10005775506469 is 96460557750001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9210994341444 + 794781165025 = 3034962^2 + 891505^2 .

It is an emirp because it is prime and its reverse (96460557750001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10005775506469 - 2¹⁷ = 10005775375397 is a prime.

It is a super-2 number, since 2×10005775506469² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10005775506439) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5002887753234 + 5002887753235.

It is an arithmetic number, because the mean of its divisors is an integer number (5002887753235).

Almost surely, 2^{10005775506469} is an apocalyptic number.

It is an amenable number.

10005775506469 is a deficient number, since it is larger than the sum of its proper divisors (1).

10005775506469 is an equidigital number, since it uses as much as digits as its factorization.

10005775506469 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7938000, while the sum is 55.

The spelling of 10005775506469 in words is "ten trillion, five billion, seven hundred seventy-five million, five hundred six thousand, four hundred sixty-nine".