1011011005 has 8 divisors (see below), whose sum is σ = 1242804024. Its totient is φ = 789081600.

The previous prime is 1011010951. The next prime is 1011011017. The reversal of 1011011005 is 5001101101.

1011011005 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 100540729 + 910470276 = 10027^2 + 30174^2 .

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

It is not a de Polignac number, because 1011011005 - 2⁷ = 1011010877 is a prime.

It is a super-2 number, since 2×1011011005² = 2044286504462220050, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1011010982 and 1011011000.

It is a congruent number.

It is an unprimeable number.

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, 2465676 + ... + 2466085.

It is an arithmetic number, because the mean of its divisors is an integer number (155350503).

Almost surely, 2^1011011005 is an apocalyptic number.

It is an amenable number.

1011011005 is a deficient number, since it is larger than the sum of its proper divisors (231793019).

1011011005 is an equidigital number, since it uses as much as digits as its factorization.

1011011005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4931807.

The product of its (nonzero) digits is 5, while the sum is 10.

The square root of 1011011005 is about 31796.3992458266. The cubic root of 1011011005 is about 1003.6569454482.

Adding to 1011011005 its reverse (5001101101), we get a palindrome (6012112106).

It can be divided in two parts, 10110 and 11005, that added together give a triangular number (21115 = T₂₀₅).

The spelling of 1011011005 in words is "one billion, eleven million, eleven thousand, five".