1009518990 has 128 divisors (see below), whose sum is σ = 2709780480. Its totient is φ = 239382528.

The previous prime is 1009518977. The next prime is 1009519033. The reversal of 1009518990 is 998159001.

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 63 ways as a sum of consecutive naturals, for example, 1043487 + ... + 1044453.

It is an arithmetic number, because the mean of its divisors is an integer number (21170160).

Almost surely, 2^1009518990 is an apocalyptic number.

1009518990 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1009518990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1354890240).

1009518990 is an abundant number, since it is smaller than the sum of its proper divisors (1700261490).

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

1009518990 is a wasteful number, since it uses less digits than its factorization.

1009518990 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1106.

The product of its (nonzero) digits is 29160, while the sum is 42.

The square root of 1009518990 is about 31772.9285713483. The cubic root of 1009518990 is about 1003.1629816657.

The spelling of 1009518990 in words is "one billion, nine million, five hundred eighteen thousand, nine hundred ninety".