1005166561 has 8 divisors (see below), whose sum is σ = 1148955840. Its totient is φ = 861425808.

The previous prime is 1005166543. The next prime is 1005166579. The reversal of 1005166561 is 1656615001.

It is an interprime number because it is at equal distance from previous prime (1005166543) and next prime (1005166579).

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

It is a cyclic number.

It is not a de Polignac number, because 1005166561 - 2⁷ = 1005166433 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1005166501) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 64815 + ... + 78811.

It is an arithmetic number, because the mean of its divisors is an integer number (143619480).

Almost surely, 2^1005166561 is an apocalyptic number.

It is an amenable number.

1005166561 is a deficient number, since it is larger than the sum of its proper divisors (143789279).

1005166561 is a wasteful number, since it uses less digits than its factorization.

1005166561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24263.

The product of its (nonzero) digits is 5400, while the sum is 31.

The square root of 1005166561 is about 31704.3618607913. The cubic root of 1005166561 is about 1001.7192295559.

The spelling of 1005166561 in words is "one billion, five million, one hundred sixty-six thousand, five hundred sixty-one".