1016016001 has 48 divisors (see below), whose sum is σ = 1382952960. Its totient is φ = 724800960.

The previous prime is 1016015969. The next prime is 1016016017. The reversal of 1016016001 is 1006106101.

It is not a de Polignac number, because 1016016001 - 2⁵ = 1016015969 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1016016601) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2120880 + ... + 2121358.

It is an arithmetic number, because the mean of its divisors is an integer number (28811520).

Almost surely, 2^1016016001 is an apocalyptic number.

1016016001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1016016001 is the 26026-th pentagonal number.

It is an amenable number.

1016016001 is a deficient number, since it is larger than the sum of its proper divisors (366936959).

1016016001 is a wasteful number, since it uses less digits than its factorization.

1016016001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 686 (or 673 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 16.

The square root of 1016016001 is about 31875.0058980387. The cubic root of 1016016001 is about 1005.3104165571.

The spelling of 1016016001 in words is "one billion, sixteen million, sixteen thousand, one".