1005201712 has 80 divisors (see below), whose sum is σ = 2089866240. Its totient is φ = 467502336.

The previous prime is 1005201709. The next prime is 1005201719. The reversal of 1005201712 is 2171025001.

1005201712 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 1005201712.

It is not an unprimeable number, because it can be changed into a prime (1005201719) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1655713 + ... + 1656319.

It is an arithmetic number, because the mean of its divisors is an integer number (26123328).

Almost surely, 2^1005201712 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 1005201712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1044933120).

1005201712 is an abundant number, since it is smaller than the sum of its proper divisors (1084664528).

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

1005201712 is a wasteful number, since it uses less digits than its factorization.

1005201712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 770 (or 764 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 19.

The square root of 1005201712 is about 31704.9162118432. The cubic root of 1005201712 is about 1001.7309062350.

Adding to 1005201712 its reverse (2171025001), we get a palindrome (3176226713).

The spelling of 1005201712 in words is "one billion, five million, two hundred one thousand, seven hundred twelve".