21725253527211 has 144 divisors (see below), whose sum is σ = 36806146191360. Its totient is φ = 12301253153280.

The previous prime is 21725253527207. The next prime is 21725253527239. The reversal of 21725253527211 is 11272535252712.

21725253527211 is a `hidden beast` number, since 2 + 1 + 7 + 2 + 52 + 53 + 527 + 21 + 1 = 666.

It is not a de Polignac number, because 21725253527211 - 2² = 21725253527207 is a prime.

It is not an unprimeable number, because it can be changed into a prime (21725253527011) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 264182446 + ... + 264264668.

It is an arithmetic number, because the mean of its divisors is an integer number (255598237440).

Almost surely, 2^{21725253527211} is an apocalyptic number.

21725253527211 is a deficient number, since it is larger than the sum of its proper divisors (15080892664149).

21725253527211 is a wasteful number, since it uses less digits than its factorization.

21725253527211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82538 (or 82522 counting only the distinct ones).

The product of its digits is 588000, while the sum is 45.

Adding to 21725253527211 its reverse (11272535252712), we get a palindrome (32997788779923).

The spelling of 21725253527211 in words is "twenty-one trillion, seven hundred twenty-five billion, two hundred fifty-three million, five hundred twenty-seven thousand, two hundred eleven".