16010011001061 has 144 divisors (see below), whose sum is σ = 29769002385408. Its totient is φ = 8197288948800.

The previous prime is 16010011001053. The next prime is 16010011001093.

16010011001061 is a `hidden beast` number, since 1 + 601 + 0 + 0 + 1 + 1 + 0 + 0 + 1 + 0 + 61 = 666.

16010011001061 is nontrivially palindromic in base 10.

16010011001061 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 16010011001061 - 2³ = 16010011001053 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16010011001041) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1895344540 + ... + 1895352986.

It is an arithmetic number, because the mean of its divisors is an integer number (206729183232).

Almost surely, 2^{16010011001061} is an apocalyptic number.

16010011001061 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

16010011001061 is a deficient number, since it is larger than the sum of its proper divisors (13758991384347).

16010011001061 is a wasteful number, since it uses less digits than its factorization.

16010011001061 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14052 (or 14042 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 18.

It can be divided in two parts, 1601001 and 1001061, that added together give a palindrome (2602062).

The spelling of 16010011001061 in words is "sixteen trillion, ten billion, eleven million, one thousand, sixty-one".