1000515200 has 96 divisors (see below), whose sum is σ = 2502027360. Its totient is φ = 395279360.

The previous prime is 1000515199. The next prime is 1000515209. The reversal of 1000515200 is 25150001.

It is not an unprimeable number, because it can be changed into a prime (1000515209) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 263717 + ... + 267483.

It is an arithmetic number, because the mean of its divisors is an integer number (26062785).

Almost surely, 2^1000515200 is an apocalyptic number.

1000515200 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 1000515200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1251013680).

1000515200 is an abundant number, since it is smaller than the sum of its proper divisors (1501512160).

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

1000515200 is an equidigital number, since it uses as much as digits as its factorization.

1000515200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3874 (or 3857 counting only the distinct ones).

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

The square root of 1000515200 is about 31630.9215799983. The cubic root of 1000515200 is about 1000.1717038494.

Adding to 1000515200 its reverse (25150001), we get a palindrome (1025665201).

The spelling of 1000515200 in words is "one billion, five hundred fifteen thousand, two hundred".