22053735025 has 27 divisors (see below), whose sum is σ = 31818886731. Its totient is φ = 15118997040.

The previous prime is 22053735019. The next prime is 22053735029. The reversal of 22053735025 is 52053735022.

The square root of 22053735025 is 148505.

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., 7939344609 + 14114390416 = 89103^2 + 118804^2 .

It is not a de Polignac number, because 22053735025 - 2¹⁷ = 22053603953 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (22053735029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 5195554 + ... + 5199796.

Almost surely, 2^22053735025 is an apocalyptic number.

22053735025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

22053735025 is the 148505-th square number.

22053735025 is the 74253-rd centered octagonal number.

It is an amenable number.

22053735025 is a deficient number, since it is larger than the sum of its proper divisors (9765151706).

22053735025 is an frugal number, since it uses more digits than its factorization.

22053735025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8510 (or 4255 counting only the distinct ones).

The product of its (nonzero) digits is 63000, while the sum is 34.

The spelling of 22053735025 in words is "twenty-two billion, fifty-three million, seven hundred thirty-five thousand, twenty-five".