10011003025 has 9 divisors (see below), whose sum is σ = 12414264123. Its totient is φ = 8008402200.

The previous prime is 10011003007. The next prime is 10011003059. The reversal of 10011003025 is 52030011001.

The square root of 10011003025 is 100055.

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

It can be written as a sum of positive squares in only one way, i.e., 3603961089 + 6407041936 = 60033^2 + 80044^2 .

It is not a de Polignac number, because 10011003025 - 2²⁷ = 9876785297 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10011002996 and 10011003014.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 490270 + ... + 510280.

Almost surely, 2^10011003025 is an apocalyptic number.

10011003025 is the 100055-th square number.

10011003025 is the 50028-th centered octagonal number.

It is an amenable number.

10011003025 is a deficient number, since it is larger than the sum of its proper divisors (2403261098).

10011003025 is an frugal number, since it uses more digits than its factorization.

10011003025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40032 (or 20016 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 13.

Adding to 10011003025 its reverse (52030011001), we get a palindrome (62041014026).

The spelling of 10011003025 in words is "ten billion, eleven million, three thousand, twenty-five".