21132271090225 has 27 divisors (see below), whose sum is σ = 26657390416683. Its totient is φ = 16618211102640.

The previous prime is 21132271090201. The next prime is 21132271090303. The reversal of 21132271090225 is 52209017223112.

The square root of 21132271090225 is 4596985.

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., 7607617592481 + 13524653497744 = 2758191^2 + 3677588^2 .

It is not a de Polignac number, because 21132271090225 - 2⁵ = 21132271090193 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1356102784 + ... + 1356118366.

Almost surely, 2^{21132271090225} is an apocalyptic number.

21132271090225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

21132271090225 is the 4596985-th square number.

21132271090225 is the 2298493-rd centered octagonal number.

It is an amenable number.

21132271090225 is a deficient number, since it is larger than the sum of its proper divisors (5525119326458).

21132271090225 is an frugal number, since it uses more digits than its factorization.

21132271090225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31294 (or 15647 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 37.

The spelling of 21132271090225 in words is "twenty-one trillion, one hundred thirty-two billion, two hundred seventy-one million, ninety thousand, two hundred twenty-five".