1011005616 has 40 divisors (see below), whose sum is σ = 2647551280. Its totient is φ = 332384256.

The previous prime is 1011005591. The next prime is 1011005621. The reversal of 1011005616 is 6165001101.

It is a junction number, because it is equal to n+sod(n) for n = 1011005592 and 1011005601.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 140761 + ... + 147768.

It is an arithmetic number, because the mean of its divisors is an integer number (66188782).

Almost surely, 2^1011005616 is an apocalyptic number.

1011005616 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1011005616 is an abundant number, since it is smaller than the sum of its proper divisors (1636545664).

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

1011005616 is a wasteful number, since it uses less digits than its factorization.

1011005616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288613 (or 288607 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 21.

The square root of 1011005616 is about 31796.3145034138. The cubic root of 1011005616 is about 1003.6551621782.

Adding to 1011005616 its reverse (6165001101), we get a palindrome (7176006717).

The spelling of 1011005616 in words is "one billion, eleven million, five thousand, six hundred sixteen".