1005100111061 has 8 divisors (see below), whose sum is σ = 1022919623448. Its totient is φ = 987323904000.

The previous prime is 1005100111049. The next prime is 1005100111069. The reversal of 1005100111061 is 1601110015001.

It can be written as a sum of positive squares in 4 ways, for example, as 68647144036 + 936452967025 = 262006^2 + 967705^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1005100111061 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005100111069) 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 7 ways as a sum of consecutive naturals, for example, 10779500 + ... + 10872341.

It is an arithmetic number, because the mean of its divisors is an integer number (127864952931).

Almost surely, 2^{1005100111061} is an apocalyptic number.

It is an amenable number.

1005100111061 is a deficient number, since it is larger than the sum of its proper divisors (17819512387).

1005100111061 is an equidigital number, since it uses as much as digits as its factorization.

1005100111061 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21652663.

The product of its (nonzero) digits is 30, while the sum is 17.

Adding to 1005100111061 its reverse (1601110015001), we get a palindrome (2606210126062).

The spelling of 1005100111061 in words is "one trillion, five billion, one hundred million, one hundred eleven thousand, sixty-one".