1017055116 has 288 divisors, whose sum is σ = 3381460992. Its totient is φ = 259640640.

The previous prime is 1017055103. The next prime is 1017055121. The reversal of 1017055116 is 6115507101.

It is a happy number.

1017055116 is a `hidden beast` number, since 101 + 7 + 0 + 551 + 1 + 6 = 666.

It is a super-2 number, since 2×1017055116² = 2068802217963546912, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 1017055116.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8008245 + ... + 8008371.

It is an arithmetic number, because the mean of its divisors is an integer number (11741184).

Almost surely, 2^1017055116 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1017055116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1690730496).

1017055116 is an abundant number, since it is smaller than the sum of its proper divisors (2364405876).

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

1017055116 is a wasteful number, since it uses less digits than its factorization.

1017055116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 1050, while the sum is 27.

The square root of 1017055116 is about 31891.3015726859. The cubic root of 1017055116 is about 1005.6530217940.

The spelling of 1017055116 in words is "one billion, seventeen million, fifty-five thousand, one hundred sixteen".