10065506051011 has 16 divisors (see below), whose sum is σ = 11169755688960. Its totient is φ = 9031794589440.

The previous prime is 10065506051009. The next prime is 10065506051039. The reversal of 10065506051011 is 11015060556001.

It is a cyclic number.

It is not a de Polignac number, because 10065506051011 - 2¹ = 10065506051009 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10065506001011) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 181771726 + ... + 181827091.

It is an arithmetic number, because the mean of its divisors is an integer number (698109730560).

Almost surely, 2^{10065506051011} is an apocalyptic number.

10065506051011 is a deficient number, since it is larger than the sum of its proper divisors (1104249637949).

10065506051011 is a wasteful number, since it uses less digits than its factorization.

10065506051011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363598914.

The product of its (nonzero) digits is 4500, while the sum is 31.

The spelling of 10065506051011 in words is "ten trillion, sixty-five billion, five hundred six million, fifty-one thousand, eleven".