1005014500 has 288 divisors, whose sum is σ = 2868203520. Its totient is φ = 304819200.

The previous prime is 1005014473. The next prime is 1005014501. The reversal of 1005014500 is 54105001.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (1005014501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7913437 + ... + 7913563.

It is an arithmetic number, because the mean of its divisors is an integer number (9959040).

Almost surely, 2^1005014500 is an apocalyptic number.

1005014500 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 1005014500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1434101760).

1005014500 is an abundant number, since it is smaller than the sum of its proper divisors (1863189020).

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

1005014500 is a wasteful number, since it uses less digits than its factorization.

1005014500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 16.

The square root of 1005014500 is about 31701.9636615778. The cubic root of 1005014500 is about 1001.6687138452.

Adding to 1005014500 its reverse (54105001), we get a palindrome (1059119501).

The spelling of 1005014500 in words is "one billion, five million, fourteen thousand, five hundred".