10005363761 has 2 divisors, whose sum is σ = 10005363762. Its totient is φ = 10005363760.

The previous prime is 10005363751. The next prime is 10005363779. The reversal of 10005363761 is 16736350001.

10005363761 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9867442225 + 137921536 = 99335^2 + 11744^2 .

It is a cyclic number.

It is not a de Polignac number, because 10005363761 - 2¹⁴ = 10005347377 is a prime.

It is not a weakly prime, because it can be changed into another prime (10005363751) 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, 5002681880 + 5002681881.

It is an arithmetic number, because the mean of its divisors is an integer number (5002681881).

Almost surely, 2^10005363761 is an apocalyptic number.

It is an amenable number.

10005363761 is a deficient number, since it is larger than the sum of its proper divisors (1).

10005363761 is an equidigital number, since it uses as much as digits as its factorization.

10005363761 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 11340, while the sum is 32.

The spelling of 10005363761 in words is "ten billion, five million, three hundred sixty-three thousand, seven hundred sixty-one".