22821496524225 has 81 divisors (see below), whose sum is σ = 47550487008297. Its totient is φ = 10432454820480.

The previous prime is 22821496524143. The next prime is 22821496524227. The reversal of 22821496524225 is 52242569412822.

The square root of 22821496524225 is 4777185.

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

22821496524225 is a `hidden beast` number, since 2 + 2 + 8 + 2 + 1 + 4 + 96 + 524 + 2 + 25 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5370792345009 + 17450704179216 = 2317497^2 + 4177404^2 .

It is not a de Polignac number, because 22821496524225 - 2¹³ = 22821496516033 is a prime.

It is not an unprimeable number, because it can be changed into a prime (22821496524227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 501581677 + ... + 501627173.

Almost surely, 2^{22821496524225} is an apocalyptic number.

22821496524225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

22821496524225 is the 4777185-th square number.

22821496524225 is the 2388593-rd centered octagonal number.

It is an amenable number.

22821496524225 is an abundant number, since it is smaller than the sum of its proper divisors (24728990484072).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

22821496524225 is an frugal number, since it uses more digits than its factorization.

22821496524225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91024 (or 45512 counting only the distinct ones).

The product of its digits is 11059200, while the sum is 54.

The spelling of 22821496524225 in words is "twenty-two trillion, eight hundred twenty-one billion, four hundred ninety-six million, five hundred twenty-four thousand, two hundred twenty-five".