19089567225 has 81 divisors (see below), whose sum is σ = 34992973197. Its totient is φ = 9947880000.

The previous prime is 19089567181. The next prime is 19089567229. The reversal of 19089567225 is 52276598091.

The square root of 19089567225 is 138165.

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

It can be written as a sum of positive squares in 4 ways, for example, as 8793000441 + 10296566784 = 93771^2 + 101472^2 .

It is not a de Polignac number, because 19089567225 - 2¹³ = 19089559033 is a prime.

It is not an unprimeable number, because it can be changed into a prime (19089567229) 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, 126420900 + ... + 126421050.

Almost surely, 2^19089567225 is an apocalyptic number.

19089567225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

19089567225 is the 138165-th square number.

19089567225 is the 69083-rd centered octagonal number.

It is an amenable number.

19089567225 is a deficient number, since it is larger than the sum of its proper divisors (15903405972).

19089567225 is an equidigital number, since it uses as much as digits as its factorization.

19089567225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 440 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 54.

The spelling of 19089567225 in words is "nineteen billion, eighty-nine million, five hundred sixty-seven thousand, two hundred twenty-five".