1001016667 has 16 divisors (see below), whose sum is σ = 1161584640. Its totient is φ = 844941888.

The previous prime is 1001016647. The next prime is 1001016683. The reversal of 1001016667 is 7666101001.

It is not a de Polignac number, because 1001016667 - 2¹⁵ = 1000983899 is a prime.

It is a super-2 number, since 2×1001016667² = 2004068735223577778, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1001016607) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 117684 + ... + 125902.

It is an arithmetic number, because the mean of its divisors is an integer number (72599040).

Almost surely, 2^1001016667 is an apocalyptic number.

1001016667 is a deficient number, since it is larger than the sum of its proper divisors (160567973).

1001016667 is a wasteful number, since it uses less digits than its factorization.

1001016667 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8490.

The product of its (nonzero) digits is 1512, while the sum is 28.

The square root of 1001016667 is about 31638.8474347597. The cubic root of 1001016667 is about 1000.3387742191.

Adding to 1001016667 its reverse (7666101001), we get a palindrome (8667117668).

The spelling of 1001016667 in words is "one billion, one million, sixteen thousand, six hundred sixty-seven".