25755435225 has 81 divisors (see below), whose sum is σ = 50013105597. Its totient is φ = 12664192320.

The previous prime is 25755435197. The next prime is 25755435229. The reversal of 25755435225 is 52253455752.

The square root of 25755435225 is 160485.

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

25755435225 is a `hidden beast` number, since 2 + 5 + 75 + 54 + 3 + 522 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 6638501529 + 19116933696 = 81477^2 + 138264^2 .

It is a de Polignac number, because none of the positive numbers 2^k-25755435225 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 (25755435229) 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, 31294164 + ... + 31294986.

Almost surely, 2^25755435225 is an apocalyptic number.

25755435225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

25755435225 is the 160485-th square number.

25755435225 is the 80243-rd centered octagonal number.

It is an amenable number.

25755435225 is a deficient number, since it is larger than the sum of its proper divisors (24257670372).

25755435225 is an equidigital number, since it uses as much as digits as its factorization.

25755435225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1688 (or 844 counting only the distinct ones).

The product of its digits is 2100000, while the sum is 45.

The spelling of 25755435225 in words is "twenty-five billion, seven hundred fifty-five million, four hundred thirty-five thousand, two hundred twenty-five".