1005061661110 has 64 divisors (see below), whose sum is σ = 1951641034560. Its totient is φ = 370458869760.

The previous prime is 1005061661083. The next prime is 1005061661137. The reversal of 1005061661110 is 111661605001.

1005061661110 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1005061661083) and next prime (1005061661137).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 298147725 + ... + 298151095.

It is an arithmetic number, because the mean of its divisors is an integer number (30494391165).

Almost surely, 2^{1005061661110} is an apocalyptic number.

1005061661110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1005061661110 is a deficient number, since it is larger than the sum of its proper divisors (946579373450).

1005061661110 is a wasteful number, since it uses less digits than its factorization.

1005061661110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6673.

The product of its (nonzero) digits is 1080, while the sum is 28.

The spelling of 1005061661110 in words is "one trillion, five billion, sixty-one million, six hundred sixty-one thousand, one hundred ten".