25208282016225 has 1215 divisors, whose sum is σ = 62847905208179. Its totient is φ = 10020683534400.

The previous prime is 25208282016223. The next prime is 25208282016289. The reversal of 25208282016225 is 52261028280252.

It is a happy number.

The square root of 25208282016225 is 5020785.

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

25208282016225 is a `hidden beast` number, since 2 + 5 + 208 + 282 + 0 + 162 + 2 + 5 = 666.

It can be written as a sum of positive squares in only one way, i.e., 9074981525841 + 16133300490384 = 3012471^2 + 4016628^2 .

It is a tau number, because it is divible by the number of its divisors (1215).

It is not a de Polignac number, because 25208282016225 - 2¹ = 25208282016223 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 (25208282016223) by changing a digit.

It is a polite number, since it can be written in 1214 ways as a sum of consecutive naturals, for example, 1096012261564 + ... + 1096012261586.

Almost surely, 2^{25208282016225} is an apocalyptic number.

25208282016225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

25208282016225 is the 5020785-th square number.

25208282016225 is the 2510393-rd centered octagonal number.

It is an amenable number.

25208282016225 is an abundant number, since it is smaller than the sum of its proper divisors (37639623191954).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

25208282016225 is an frugal number, since it uses more digits than its factorization.

25208282016225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 45.

The spelling of 25208282016225 in words is "twenty-five trillion, two hundred eight billion, two hundred eighty-two million, sixteen thousand, two hundred twenty-five".