10005000625 has 15 divisors (see below), whose sum is σ = 12505374343. Its totient is φ = 8002000000.

The previous prime is 10005000617. The next prime is 10005000631. The reversal of 10005000625 is 52600050001.

It is a happy number.

The square root of 10005000625 is 100025.

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

10005000625 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 7 ways, for example, as 9937497969 + 67502656 = 99687^2 + 8216^2 .

It is not a de Polignac number, because 10005000625 - 2³ = 10005000617 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 2498625 + ... + 2502625.

Almost surely, 2^10005000625 is an apocalyptic number.

10005000625 is the 100025-th square number.

10005000625 is the 50013-rd centered octagonal number.

It is an amenable number.

10005000625 is a deficient number, since it is larger than the sum of its proper divisors (2500373718).

10005000625 is an frugal number, since it uses more digits than its factorization.

10005000625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8022 (or 4006 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 19.

Adding to 10005000625 its reverse (52600050001), we get a palindrome (62605050626).

The spelling of 10005000625 in words is "ten billion, five million, six hundred twenty-five", and thus it is an aban number.