1001010016 has 48 divisors (see below), whose sum is σ = 2006711280. Its totient is φ = 491420160.

The previous prime is 1001010013. The next prime is 1001010053. The reversal of 1001010016 is 6100101001.

1001010016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 1001009984 and 1001010011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001010011) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 902070 + ... + 903178.

It is an arithmetic number, because the mean of its divisors is an integer number (41806485).

Almost surely, 2^1001010016 is an apocalyptic number.

1001010016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1001010016 is an abundant number, since it is smaller than the sum of its proper divisors (1005701264).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1001010016 is a wasteful number, since it uses less digits than its factorization.

1001010016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1607 (or 1599 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 10.

The square root of 1001010016 is about 31638.7423264579. The cubic root of 1001010016 is about 1000.3365587155.

Adding to 1001010016 its reverse (6100101001), we get a palindrome (7101111017).

It can be divided in two parts, 100101001 and 6, that multiplied together give a palindrome (600606006).

The spelling of 1001010016 in words is "one billion, one million, ten thousand, sixteen".