1005215000 has 80 divisors (see below), whose sum is σ = 2457900720. Its totient is φ = 384560000.

The previous prime is 1005214997. The next prime is 1005215011. The reversal of 1005215000 is 5125001.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 110630 + ... + 119370.

It is an arithmetic number, because the mean of its divisors is an integer number (30723759).

Almost surely, 2^1005215000 is an apocalyptic number.

1005215000 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 1005215000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1228950360).

1005215000 is an abundant number, since it is smaller than the sum of its proper divisors (1452685720).

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

1005215000 is an equidigital number, since it uses as much as digits as its factorization.

1005215000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8790 (or 8771 counting only the distinct ones).

The product of its (nonzero) digits is 50, while the sum is 14.

The square root of 1005215000 is about 31705.1257685567. The cubic root of 1005215000 is about 1001.7353202551.

It can be divided in two parts, 10052 and 15000, that added together give a palindrome (25052).

The spelling of 1005215000 in words is "one billion, five million, two hundred fifteen thousand".