263769552225 has 135 divisors (see below), whose sum is σ = 497883542299. Its totient is φ = 138051648000.

The previous prime is 263769552197. The next prime is 263769552227. The reversal of 263769552225 is 522255967362.

It is a happy number.

The square root of 263769552225 is 513585.

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

263769552225 is a `hidden beast` number, since 2 + 6 + 3 + 7 + 6 + 95 + 522 + 25 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 185203704609 + 78565847616 = 430353^2 + 280296^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is not a de Polignac number, because 263769552225 - 2¹⁵ = 263769519457 is a prime.

It is a Duffinian number.

Its product of digits (13608000) is a multiple of the sum of its prime factors (450).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (263769552227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 2334243769 + ... + 2334243881.

Almost surely, 2^263769552225 is an apocalyptic number.

263769552225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

263769552225 is the 513585-th square number.

263769552225 is the 256793-rd centered octagonal number.

It is an amenable number.

263769552225 is a deficient number, since it is larger than the sum of its proper divisors (234113990074).

263769552225 is an equidigital number, since it uses as much as digits as its factorization.

263769552225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450 (or 222 counting only the distinct ones).

The product of its digits is 13608000, while the sum is 54.

The spelling of 263769552225 in words is "two hundred sixty-three billion, seven hundred sixty-nine million, five hundred fifty-two thousand, two hundred twenty-five".