1282714225 has 81 divisors (see below), whose sum is σ = 1882590723. Its totient is φ = 866436480.

The previous prime is 1282714217. The next prime is 1282714259. The reversal of 1282714225 is 5224172821.

The square root of 1282714225 is 35815.

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

It can be written as a sum of positive squares in 13 ways, for example, as 1186595809 + 96118416 = 34447^2 + 9804^2 .

It is not a de Polignac number, because 1282714225 - 2³ = 1282714217 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 44231511 + ... + 44231539.

Almost surely, 2^1282714225 is an apocalyptic number.

1282714225 is the 35815-th square number.

1282714225 is the 17908-th centered octagonal number.

It is an amenable number.

1282714225 is a deficient number, since it is larger than the sum of its proper divisors (599876498).

1282714225 is a wasteful number, since it uses less digits than its factorization.

1282714225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 66 counting only the distinct ones).

The product of its digits is 17920, while the sum is 34.

The cubic root of 1282714225 is about 1086.5339569179.

It can be divided in two parts, 128271 and 4225, that added together give a square (132496 = 364²).

The spelling of 1282714225 in words is "one billion, two hundred eighty-two million, seven hundred fourteen thousand, two hundred twenty-five".