25381269225 has 243 divisors, whose sum is σ = 53190212517. Its totient is φ = 11562445440.

The previous prime is 25381269211. The next prime is 25381269239. The reversal of 25381269225 is 52296218352.

The square root of 25381269225 is 159315.

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

25381269225 is a `hidden beast` number, since 2 + 5 + 381 + 269 + 2 + 2 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (25381269211) and next prime (25381269239).

It can be written as a sum of positive squares in 4 ways, for example, as 6542059689 + 18839209536 = 80883^2 + 137256^2 .

It is not a de Polignac number, because 25381269225 - 2⁹ = 25381268713 is a prime.

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

It is an unprimeable number.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 590262054 + ... + 590262096.

Almost surely, 2^25381269225 is an apocalyptic number.

25381269225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

25381269225 is the 159315-th square number.

25381269225 is the 79658-th centered octagonal number.

It is an amenable number.

25381269225 is an abundant number, since it is smaller than the sum of its proper divisors (27808943292).

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

25381269225 is a wasteful number, since it uses less digits than its factorization.

25381269225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 83 counting only the distinct ones).

The product of its digits is 518400, while the sum is 45.

The spelling of 25381269225 in words is "twenty-five billion, three hundred eighty-one million, two hundred sixty-nine thousand, two hundred twenty-five".