10800825904521 has 9 divisors (see below), whose sum is σ = 15601207214541. Its totient is φ = 7200544030092.

The previous prime is 10800825904499. The next prime is 10800825904549. The reversal of 10800825904521 is 12540952800801.

The square root of 10800825904521 is 3286461.

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

10800825904521 is a `hidden beast` number, since 1 + 0 + 8 + 0 + 0 + 8 + 2 + 590 + 4 + 52 + 1 = 666.

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 10800825904521 - 2⁵ = 10800825904489 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10800825904321) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 9311640 + ... + 10407126.

Almost surely, 2^{10800825904521} is an apocalyptic number.

10800825904521 is the 3286461-st square number.

10800825904521 is the 1643231-st centered octagonal number.

It is an amenable number.

10800825904521 is a deficient number, since it is larger than the sum of its proper divisors (4800381310020).

10800825904521 is an frugal number, since it uses more digits than its factorization.

10800825904521 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2190980 (or 1095490 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 45.

The spelling of 10800825904521 in words is "ten trillion, eight hundred billion, eight hundred twenty-five million, nine hundred four thousand, five hundred twenty-one".