1016000001 has 24 divisors (see below), whose sum is σ = 1527171360. Its totient is φ = 650353536.

The previous prime is 1015999997. The next prime is 1016000003. The reversal of 1016000001 is 1000006101.

1016000001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1016000001 - 2² = 1015999997 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (1016000003) 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, 585 + ... + 45081.

It is an arithmetic number, because the mean of its divisors is an integer number (63632140).

Almost surely, 2^1016000001 is an apocalyptic number.

It is an amenable number.

1016000001 is a deficient number, since it is larger than the sum of its proper divisors (511171359).

1016000001 is a wasteful number, since it uses less digits than its factorization.

1016000001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44605 (or 44602 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 1016000001 is about 31874.7549167048. The cubic root of 1016000001 is about 1005.3051393925.

Adding to 1016000001 its reverse (1000006101), we get a palindrome (2016006102).

The spelling of 1016000001 in words is "one billion, sixteen million, one", and thus it is an aban number and an uban number.