10205330025 has 48 divisors (see below), whose sum is σ = 18420517440. Its totient is φ = 4944326400.

The previous prime is 10205330021. The next prime is 10205330033. The reversal of 10205330025 is 52003350201.

It is not a de Polignac number, because 10205330025 - 2² = 10205330021 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10205329983 and 10205330010.

It is not an unprimeable number, because it can be changed into a prime (10205330021) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1326891 + ... + 1334559.

It is an arithmetic number, because the mean of its divisors is an integer number (383760780).

Almost surely, 2^10205330025 is an apocalyptic number.

10205330025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10205330025 is a deficient number, since it is larger than the sum of its proper divisors (8215187415).

10205330025 is a wasteful number, since it uses less digits than its factorization.

10205330025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9306 (or 9301 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 21.

Adding to 10205330025 its reverse (52003350201), we get a palindrome (62208680226).

The spelling of 10205330025 in words is "ten billion, two hundred five million, three hundred thirty thousand, twenty-five".