19008858807225 has 135 divisors (see below), whose sum is σ = 40962668007261. Its totient is φ = 8689136198400.

The previous prime is 19008858807089. The next prime is 19008858807233. The reversal of 19008858807225 is 52270885880091.

The square root of 19008858807225 is 4359915.

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 1989174565161 + 17019684242064 = 1410381^2 + 4125492^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is not a de Polignac number, because 19008858807225 - 2²⁵ = 19008825252793 is a prime.

It is a super-2 number, since 2×19008858807225² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 1373366305 + ... + 1373380145.

Almost surely, 2^{19008858807225} is an apocalyptic number.

19008858807225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

19008858807225 is the 4359915-th square number.

19008858807225 is the 2179958-th centered octagonal number.

It is an amenable number.

19008858807225 is an abundant number, since it is smaller than the sum of its proper divisors (21953809200036).

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

19008858807225 is an frugal number, since it uses more digits than its factorization.

19008858807225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27718 (or 13856 counting only the distinct ones).

The product of its (nonzero) digits is 25804800, while the sum is 63.

The spelling of 19008858807225 in words is "nineteen trillion, eight billion, eight hundred fifty-eight million, eight hundred seven thousand, two hundred twenty-five".