1009067561 has 6 divisors (see below), whose sum is σ = 1064971962. Its totient is φ = 955958400.

The previous prime is 1009067533. The next prime is 1009067567. The reversal of 1009067561 is 1657609001.

It can be written as a sum of positive squares in only one way, i.e., 994771600 + 14295961 = 31540^2 + 3781^2 .

It is not a de Polignac number, because 1009067561 - 2¹⁰ = 1009066537 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1009067567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1397240 + ... + 1397961.

It is an arithmetic number, because the mean of its divisors is an integer number (177495327).

Almost surely, 2^1009067561 is an apocalyptic number.

It is an amenable number.

1009067561 is a deficient number, since it is larger than the sum of its proper divisors (55904401).

1009067561 is an equidigital number, since it uses as much as digits as its factorization.

1009067561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2795239 (or 2795220 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 35.

The square root of 1009067561 is about 31765.8237890976. The cubic root of 1009067561 is about 1003.0134304488.

The spelling of 1009067561 in words is "one billion, nine million, sixty-seven thousand, five hundred sixty-one".