1006010061111 has 32 divisors (see below), whose sum is σ = 1629356601600. Its totient is φ = 608397409440.

The previous prime is 1006010061101. The next prime is 1006010061127. The reversal of 1006010061111 is 1111600106001.

1006010061111 is a `hidden beast` number, since 1 + 0 + 0 + 601 + 0 + 0 + 61 + 1 + 1 + 1 = 666.

It is not a de Polignac number, because 1006010061111 - 2⁷ = 1006010060983 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1006010061101) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3487896 + ... + 3765293.

It is an arithmetic number, because the mean of its divisors is an integer number (50917393800).

Almost surely, 2^{1006010061111} is an apocalyptic number.

1006010061111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1006010061111 is a deficient number, since it is larger than the sum of its proper divisors (623346540489).

1006010061111 is a wasteful number, since it uses less digits than its factorization.

1006010061111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7253676 (or 7253670 counting only the distinct ones).

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

Adding to 1006010061111 its reverse (1111600106001), we get a palindrome (2117610167112).

The spelling of 1006010061111 in words is "one trillion, six billion, ten million, sixty-one thousand, one hundred eleven".