19247400225 has 45 divisors (see below), whose sum is σ = 35664406723. Its totient is φ = 10261950480.

The previous prime is 19247400217. The next prime is 19247400269. The reversal of 19247400225 is 52200474291.

The square root of 19247400225 is 138735.

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

19247400225 is a `hidden beast` number, since 1 + 9 + 24 + 7 + 400 + 225 = 666.

It can be written as a sum of positive squares in only one way, i.e., 6929064081 + 12318336144 = 83241^2 + 110988^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is not a de Polignac number, because 19247400225 - 2³ = 19247400217 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 19247400225.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 6241534 + ... + 6244616.

Almost surely, 2^19247400225 is an apocalyptic number.

19247400225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

19247400225 is the 138735-th square number.

19247400225 is the 69368-th centered octagonal number.

It is an amenable number.

19247400225 is a deficient number, since it is larger than the sum of its proper divisors (16417006498).

19247400225 is an frugal number, since it uses more digits than its factorization.

19247400225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6188 (or 3091 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

Multiplying 19247400225 by its sum of digits (36), we get a square (692906408100 = 832410²).

The spelling of 19247400225 in words is "nineteen billion, two hundred forty-seven million, four hundred thousand, two hundred twenty-five".