25770496896225 has 27 divisors (see below), whose sum is σ = 46157959717779. Its totient is φ = 13744224399600.

The previous prime is 25770496896223. The next prime is 25770496896251. The reversal of 25770496896225 is 52269869407752.

The square root of 25770496896225 is 5076465.

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

25770496896225 is a `hidden beast` number, since 2 + 5 + 7 + 70 + 496 + 8 + 9 + 62 + 2 + 5 = 666.

It can be written as a sum of positive squares in only one way, i.e., 9277378882641 + 16493118013584 = 3045879^2 + 4061172^2 .

It is not a de Polignac number, because 25770496896225 - 2¹ = 25770496896223 is a prime.

It is not an unprimeable number, because it can be changed into a prime (25770496896223) 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 26 ways as a sum of consecutive naturals, for example, 75977760 + ... + 76316190.

Almost surely, 2^{25770496896225} is an apocalyptic number.

25770496896225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

25770496896225 is the 5076465-th square number.

25770496896225 is the 2538233-rd centered octagonal number.

It is an amenable number.

25770496896225 is a deficient number, since it is larger than the sum of its proper divisors (20387462821554).

25770496896225 is an frugal number, since it uses more digits than its factorization.

25770496896225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 676878 (or 338439 counting only the distinct ones).

The product of its (nonzero) digits is 914457600, while the sum is 72.

The spelling of 25770496896225 in words is "twenty-five trillion, seven hundred seventy billion, four hundred ninety-six million, eight hundred ninety-six thousand, two hundred twenty-five".