1017225216 has 336 divisors, whose sum is σ = 3530339904. Its totient is φ = 286654464.

The previous prime is 1017225197. The next prime is 1017225229. The reversal of 1017225216 is 6125227101.

It is a tau number, because it is divible by the number of its divisors (336).

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 1017225216.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13934556 + ... + 13934628.

It is an arithmetic number, because the mean of its divisors is an integer number (10506964).

Almost surely, 2^1017225216 is an apocalyptic number.

1017225216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1017225216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1765169952).

1017225216 is an abundant number, since it is smaller than the sum of its proper divisors (2513114688).

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

1017225216 is an frugal number, since it uses more digits than its factorization.

1017225216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 1017225216 is about 31893.9683325860. The cubic root of 1017225216 is about 1005.7090830113.

The spelling of 1017225216 in words is "one billion, seventeen million, two hundred twenty-five thousand, two hundred sixteen".