1011005105516 has 24 divisors (see below), whose sum is σ = 2022032332320. Its totient is φ = 433283162112.

The previous prime is 1011005105479. The next prime is 1011005105519. The reversal of 1011005105516 is 6155015001101.

It is a super-3 number, since 3×1011005105516³ (a number of 37 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (1011005105519) 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, 3895916 + ... + 4147308.

It is an arithmetic number, because the mean of its divisors is an integer number (84251347180).

Almost surely, 2^{1011005105516} is an apocalyptic number.

It is an amenable number.

1011005105516 is an abundant number, since it is smaller than the sum of its proper divisors (1011027226804).

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

1011005105516 is a wasteful number, since it uses less digits than its factorization.

1011005105516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395033 (or 395031 counting only the distinct ones).

The product of its (nonzero) digits is 750, while the sum is 26.

The spelling of 1011005105516 in words is "one trillion, eleven billion, five million, one hundred five thousand, five hundred sixteen".