10010002500 has 405 divisors, whose sum is σ = 34232271073. Its totient is φ = 2465232000.

The previous prime is 10010002493. The next prime is 10010002549. The reversal of 10010002500 is 520001001.

It is a happy number.

The square root of 10010002500 is 100050.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 7486748676 + 2523253824 = 86526^2 + 50232^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 345172486 + ... + 345172514.

Almost surely, 2^10010002500 is an apocalyptic number.

10010002500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10010002500 is the 100050-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10010002500

10010002500 is an abundant number, since it is smaller than the sum of its proper divisors (24222268573).

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

10010002500 is a wasteful number, since it uses less digits than its factorization.

10010002500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 10, while the sum is 9.

Adding to 10010002500 its reverse (520001001), we get a palindrome (10530003501).

The spelling of 10010002500 in words is "ten billion, ten million, two thousand, five hundred".