1005016561 has 4 divisors (see below), whose sum is σ = 1022050800. Its totient is φ = 987982324.

The previous prime is 1005016531. The next prime is 1005016613. The reversal of 1005016561 is 1656105001.

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 1005016561 - 2¹⁷ = 1004885489 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1005016501) 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, 8517031 + ... + 8517148.

It is an arithmetic number, because the mean of its divisors is an integer number (255512700).

Almost surely, 2^1005016561 is an apocalyptic number.

It is an amenable number.

1005016561 is a deficient number, since it is larger than the sum of its proper divisors (17034239).

1005016561 is an equidigital number, since it uses as much as digits as its factorization.

1005016561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17034238.

The product of its (nonzero) digits is 900, while the sum is 25.

The square root of 1005016561 is about 31701.9961674340. The cubic root of 1005016561 is about 1001.6693985576.

The spelling of 1005016561 in words is "one billion, five million, sixteen thousand, five hundred sixty-one".