22552953510025 has 27 divisors (see below), whose sum is σ = 28025827270293. Its totient is φ = 18003630004800.

The previous prime is 22552953510019. The next prime is 22552953510029. The reversal of 22552953510025 is 52001535925522.

The square root of 22552953510025 is 4748995.

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

It can be written as a sum of positive squares in 4 ways, for example, as 2911074078969 + 19641879431056 = 1706187^2 + 4431916^2 .

It is not a de Polignac number, because 22552953510025 - 2⁵ = 22552953509993 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (22552953510029) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 17072636365 + ... + 17072637685.

Almost surely, 2^{22552953510025} is an apocalyptic number.

22552953510025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

22552953510025 is the 4748995-th square number.

22552953510025 is the 2374498-th centered octagonal number.

It is an amenable number.

22552953510025 is a deficient number, since it is larger than the sum of its proper divisors (5472873760268).

22552953510025 is an frugal number, since it uses more digits than its factorization.

22552953510025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4090 (or 2045 counting only the distinct ones).

The product of its (nonzero) digits is 1350000, while the sum is 46.

The spelling of 22552953510025 in words is "twenty-two trillion, five hundred fifty-two billion, nine hundred fifty-three million, five hundred ten thousand, twenty-five".