10111265417 has 6 divisors (see below), whose sum is σ = 11114035674. Its totient is φ = 9192059360.

The previous prime is 10111265393. The next prime is 10111265441. The reversal of 10111265417 is 71456211101.

10111265417 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10111265393) and next prime (10111265441).

It can be written as a sum of positive squares in only one way, i.e., 5169034816 + 4942230601 = 71896^2 + 70301^2 .

It is not a de Polignac number, because 10111265417 - 2⁸ = 10111265161 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10111265417.

It is not an unprimeable number, because it can be changed into a prime (10111265447) 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 in 5 ways as a sum of consecutive naturals, for example, 41781968 + ... + 41782209.

It is an arithmetic number, because the mean of its divisors is an integer number (1852339279).

Almost surely, 2^10111265417 is an apocalyptic number.

It is an amenable number.

10111265417 is a deficient number, since it is larger than the sum of its proper divisors (1002770257).

10111265417 is an equidigital number, since it uses as much as digits as its factorization.

10111265417 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83564199 (or 83564188 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 29.

Adding to 10111265417 its reverse (71456211101), we get a palindrome (81567476518).

The spelling of 10111265417 in words is "ten billion, one hundred eleven million, two hundred sixty-five thousand, four hundred seventeen".