10409711761 has 2 divisors, whose sum is σ = 10409711762. Its totient is φ = 10409711760.

The previous prime is 10409711731. The next prime is 10409711771. The reversal of 10409711761 is 16711790401.

10409711761 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8984196225 + 1425515536 = 94785^2 + 37756^2 .

It is a cyclic number.

It is not a de Polignac number, because 10409711761 - 2⁷ = 10409711633 is a prime.

It is a super-2 number, since 2×10409711761² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10409711761.

It is not a weakly prime, because it can be changed into another prime (10409711731) 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, 5204855880 + 5204855881.

It is an arithmetic number, because the mean of its divisors is an integer number (5204855881).

Almost surely, 2^10409711761 is an apocalyptic number.

It is an amenable number.

10409711761 is a deficient number, since it is larger than the sum of its proper divisors (1).

10409711761 is an equidigital number, since it uses as much as digits as its factorization.

10409711761 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10584, while the sum is 37.

The spelling of 10409711761 in words is "ten billion, four hundred nine million, seven hundred eleven thousand, seven hundred sixty-one".