10111011056505 has 48 divisors (see below), whose sum is σ = 18567124312464. Its totient is φ = 5072474234880.

The previous prime is 10111011056479. The next prime is 10111011056543. The reversal of 10111011056505 is 50565011011101.

10111011056505 is a `hidden beast` number, since 1 + 0 + 1 + 1 + 1 + 0 + 1 + 1 + 0 + 5 + 650 + 5 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 3342342969 + 10107668713536 = 57813^2 + 3179256^2 .

It is not a de Polignac number, because 10111011056505 - 2⁹ = 10111011055993 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2359506 + ... + 5078315.

It is an arithmetic number, because the mean of its divisors is an integer number (386815089843).

Almost surely, 2^{10111011056505} is an apocalyptic number.

10111011056505 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10111011056505 is a deficient number, since it is larger than the sum of its proper divisors (8456113255959).

10111011056505 is a wasteful number, since it uses less digits than its factorization.

10111011056505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7439626 (or 7439623 counting only the distinct ones).

The product of its (nonzero) digits is 750, while the sum is 27.

Adding to 10111011056505 its reverse (50565011011101), we get a palindrome (60676022067606).

The spelling of 10111011056505 in words is "ten trillion, one hundred eleven billion, eleven million, fifty-six thousand, five hundred five".