10002500 has 30 divisors (see below), whose sum is σ = 21878934. Its totient is φ = 4000000.

The previous prime is 10002481. The next prime is 10002521. The reversal of 10002500 is 520001.

It can be written as a sum of positive squares in 5 ways, for example, as 6791236 + 3211264 = 2606^2 + 1792^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 500 + ... + 4500.

Almost surely, 2^10002500 is an apocalyptic number.

10002500 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 10002500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10939467).

10002500 is an abundant number, since it is smaller than the sum of its proper divisors (11876434).

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

10002500 is an equidigital number, since it uses as much as digits as its factorization.

10002500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4025 (or 4008 counting only the distinct ones).

The product of its (nonzero) digits is 10, while the sum is 8.

The square root of 10002500 is about 3162.6729201737. The cubic root of 10002500 is about 215.4614211297.

Adding to 10002500 its reverse (520001), we get a palindrome (10522501).

The spelling of 10002500 in words is "ten million, two thousand, five hundred".