1006113117027 has 16 divisors (see below), whose sum is σ = 1447194898080. Its totient is φ = 619375590912.

The previous prime is 1006113117019. The next prime is 1006113117047. The reversal of 1006113117027 is 7207113116001.

It is not a de Polignac number, because 1006113117027 - 2³ = 1006113117019 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1006113116985 and 1006113117003.

It is not an unprimeable number, because it can be changed into a prime (1006113117047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 186107752 + ... + 186113157.

It is an arithmetic number, because the mean of its divisors is an integer number (90449681130).

Almost surely, 2^{1006113117027} is an apocalyptic number.

1006113117027 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

1006113117027 is a deficient number, since it is larger than the sum of its proper divisors (441081781053).

1006113117027 is a wasteful number, since it uses less digits than its factorization.

1006113117027 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 372220982.

The product of its (nonzero) digits is 1764, while the sum is 30.

The spelling of 1006113117027 in words is "one trillion, six billion, one hundred thirteen million, one hundred seventeen thousand, twenty-seven".