1005011106061 has 4 divisors (see below), whose sum is σ = 1009015134624. Its totient is φ = 1001007077500.

The previous prime is 1005011106059. The next prime is 1005011106097. The reversal of 1005011106061 is 1606011105001.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 1005011106061 - 2¹ = 1005011106059 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 (1005011176061) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2002013905 + ... + 2002014406.

It is an arithmetic number, because the mean of its divisors is an integer number (252253783656).

Almost surely, 2^{1005011106061} is an apocalyptic number.

It is an amenable number.

1005011106061 is a deficient number, since it is larger than the sum of its proper divisors (4004028563).

1005011106061 is an equidigital number, since it uses as much as digits as its factorization.

1005011106061 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4004028562.

The product of its (nonzero) digits is 180, while the sum is 22.

The spelling of 1005011106061 in words is "one trillion, five billion, eleven million, one hundred six thousand, sixty-one".