1006151661 has 24 divisors (see below), whose sum is σ = 1474649280. Its totient is φ = 660998016.

The previous prime is 1006151651. The next prime is 1006151743. The reversal of 1006151661 is 1661516001.

It is not a de Polignac number, because 1006151661 - 2¹⁰ = 1006150637 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1006151621) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 179280 + ... + 184806.

It is an arithmetic number, because the mean of its divisors is an integer number (61443720).

Almost surely, 2^1006151661 is an apocalyptic number.

It is an amenable number.

1006151661 is a deficient number, since it is larger than the sum of its proper divisors (468497619).

1006151661 is a wasteful number, since it uses less digits than its factorization.

1006151661 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5825 (or 5822 counting only the distinct ones).

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

The square root of 1006151661 is about 31719.8937734665. The cubic root of 1006151661 is about 1002.0463632078.

Adding to 1006151661 its reverse (1661516001), we get a palindrome (2667667662).

The spelling of 1006151661 in words is "one billion, six million, one hundred fifty-one thousand, six hundred sixty-one".