10005055018373 has 2 divisors, whose sum is σ = 10005055018374. Its totient is φ = 10005055018372.

The previous prime is 10005055018327. The next prime is 10005055018391. The reversal of 10005055018373 is 37381055050001.

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., 9905579119969 + 99475898404 = 3147313^2 + 315398^2 .

It is a cyclic number.

It is not a de Polignac number, because 10005055018373 - 2⁸ = 10005055018117 is a prime.

It is a super-2 number, since 2×10005055018373² (a number of 27 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10005055018073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5002527509186 + 5002527509187.

It is an arithmetic number, because the mean of its divisors is an integer number (5002527509187).

Almost surely, 2^{10005055018373} is an apocalyptic number.

It is an amenable number.

10005055018373 is a deficient number, since it is larger than the sum of its proper divisors (1).

10005055018373 is an equidigital number, since it uses as much as digits as its factorization.

10005055018373 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 63000, while the sum is 38.

The spelling of 10005055018373 in words is "ten trillion, five billion, fifty-five million, eighteen thousand, three hundred seventy-three".