1016016561 has 48 divisors (see below), whose sum is σ = 1739720320. Its totient is φ = 574076160.

The previous prime is 1016016553. The next prime is 1016016569. The reversal of 1016016561 is 1656106101.

1016016561 is a `hidden beast` number, since 1 + 0 + 1 + 6 + 0 + 1 + 656 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (1016016553) and next prime (1016016569).

It is not a de Polignac number, because 1016016561 - 2³ = 1016016553 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1016016569) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2413131 + ... + 2413551.

Almost surely, 2^1016016561 is an apocalyptic number.

It is an amenable number.

1016016561 is a deficient number, since it is larger than the sum of its proper divisors (723703759).

1016016561 is an equidigital number, since it uses as much as digits as its factorization.

1016016561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 663 (or 544 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The square root of 1016016561 is about 31875.0146823496. The cubic root of 1016016561 is about 1005.3106012569.

The spelling of 1016016561 in words is "one billion, sixteen million, sixteen thousand, five hundred sixty-one".