1017216512 has 80 divisors (see below), whose sum is σ = 2222430672. Its totient is φ = 462274560.

The previous prime is 1017216481. The next prime is 1017216521. The reversal of 1017216512 is 2156127101.

It is a super-2 number, since 2×1017216512² = 2069458864570892288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

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, 444812 + ... + 447092.

Almost surely, 2^1017216512 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 1017216512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1111215336).

1017216512 is an abundant number, since it is smaller than the sum of its proper divisors (1205214160).

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

1017216512 is an equidigital number, since it uses as much as digits as its factorization.

1017216512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2379 (or 2363 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 26.

The square root of 1017216512 is about 31893.8318801614. The cubic root of 1017216512 is about 1005.7062145161.

The spelling of 1017216512 in words is "one billion, seventeen million, two hundred sixteen thousand, five hundred twelve".