10001000025 has 81 divisors (see below), whose sum is σ = 18384337309. Its totient is φ = 5197059840.

The previous prime is 10001000017. The next prime is 10001000069. The reversal of 10001000025 is 52000010001.

It is a happy number.

The square root of 10001000025 is 100005.

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

It can be written as a sum of positive squares in 4 ways, for example, as 5088111561 + 4912888464 = 71331^2 + 70092^2 .

It is not a de Polignac number, because 10001000025 - 2³ = 10001000017 is a prime.

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

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10000999980 and 10001000016.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 88504369 + ... + 88504481.

Almost surely, 2^10001000025 is an apocalyptic number.

10001000025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10001000025 is the 100005-th square number.

10001000025 is the 50003-rd centered octagonal number.

It is an amenable number.

10001000025 is a deficient number, since it is larger than the sum of its proper divisors (8383337284).

10001000025 is an equidigital number, since it uses as much as digits as its factorization.

10001000025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360 (or 180 counting only the distinct ones).

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

Adding to 10001000025 its reverse (52000010001), we get a palindrome (62001010026).

The spelling of 10001000025 in words is "ten billion, one million, twenty-five", and thus it is an aban number and an uban number.