4263254505225 has 81 divisors (see below), whose sum is σ = 7688858339253. Its totient is φ = 2258093076480.

The previous prime is 4263254505199. The next prime is 4263254505227. The reversal of 4263254505225 is 5225054523624.

It is a happy number.

The square root of 4263254505225 is 2064765.

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

4263254505225 is a `hidden beast` number, since 4 + 2 + 6 + 32 + 545 + 0 + 52 + 25 = 666.

4263254505225 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 264102460281 + 3999152044944 = 513909^2 + 1999788^2 .

It is not a de Polignac number, because 4263254505225 - 2¹¹ = 4263254503177 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (4263254505227) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 5543893641 + ... + 5543894409.

Almost surely, 2^{4263254505225} is an apocalyptic number.

4263254505225 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

4263254505225 is the 2064765-th square number.

4263254505225 is the 1032383-rd centered octagonal number.

It is an amenable number.

4263254505225 is a deficient number, since it is larger than the sum of its proper divisors (3425603834028).

4263254505225 is an frugal number, since it uses more digits than its factorization.

4263254505225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1912 (or 956 counting only the distinct ones).

The product of its (nonzero) digits is 2880000, while the sum is 45.

The spelling of 4263254505225 in words is "four trillion, two hundred sixty-three billion, two hundred fifty-four million, five hundred five thousand, two hundred twenty-five".