1009170000 has 150 divisors (see below), whose sum is σ = 3529528002. Its totient is φ = 269088000.

The previous prime is 1009169981. The next prime is 1009170017. The reversal of 1009170000 is 719001.

It can be written as a sum of positive squares in 5 ways, for example, as 685601856 + 323568144 = 26184^2 + 17988^2 .

It is a tau number, because it is divible by the number of its divisors (150).

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 84394 + ... + 95606.

Almost surely, 2^1009170000 is an apocalyptic number.

1009170000 is a gapful number since it is divisible by the number (10) 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 1009170000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1764764001).

1009170000 is an abundant number, since it is smaller than the sum of its proper divisors (2520358002).

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

1009170000 is a wasteful number, since it uses less digits than its factorization.

1009170000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11247 (or 11223 counting only the distinct ones).

The product of its (nonzero) digits is 63, while the sum is 18.

The square root of 1009170000 is about 31767.4361571720. The cubic root of 1009170000 is about 1003.0473707650.

Adding to 1009170000 its reverse (719001), we get a palindrome (1009889001).

The spelling of 1009170000 in words is "one billion, nine million, one hundred seventy thousand".