19881225 has 72 divisors (see below), whose sum is σ = 43872192. Its totient is φ = 8380800.

The previous prime is 19881193. The next prime is 19881227. The reversal of 19881225 is 52218891.

It is not a de Polignac number, because 19881225 - 2⁵ = 19881193 is a prime.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 19881225.

It is not an unprimeable number, because it can be changed into a prime (19881227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 19990 + ... + 20960.

It is an arithmetic number, because the mean of its divisors is an integer number (609336).

Almost surely, 2^19881225 is an apocalyptic number.

19881225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

19881225 is an abundant number, since it is smaller than the sum of its proper divisors (23990967).

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

19881225 is a wasteful number, since it uses less digits than its factorization.

19881225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1007 (or 999 counting only the distinct ones).

The product of its digits is 11520, while the sum is 36.

The square root of 19881225 is about 4458.8367317048. The cubic root of 19881225 is about 270.9033528362.

It can be divided in two parts, 19881 and 225, that multiplied together give a square (4473225 = 2115²).

The spelling of 19881225 in words is "nineteen million, eight hundred eighty-one thousand, two hundred twenty-five".