1288451025 has 27 divisors (see below), whose sum is σ = 2308723729. Its totient is φ = 686886720.

The previous prime is 1288450993. The next prime is 1288451051. The reversal of 1288451025 is 5201548821.

The square root of 1288451025 is 35895.

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 640646721 + 647804304 = 25311^2 + 25452^2 .

It is not a de Polignac number, because 1288451025 - 2⁵ = 1288450993 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 537229 + ... + 539621.

Almost surely, 2^1288451025 is an apocalyptic number.

1288451025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1288451025 is the 35895-th square number.

1288451025 is the 17948-th centered octagonal number.

It is an amenable number.

1288451025 is a deficient number, since it is larger than the sum of its proper divisors (1020272704).

1288451025 is an frugal number, since it uses more digits than its factorization.

1288451025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4802 (or 2401 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 36.

The cubic root of 1288451025 is about 1088.1513497932.

Multiplying 1288451025 by its sum of digits (36), we get a square (46384236900 = 215370²).

Multiplying 1288451025 by its product of nonzero digits (25600), we get a square (32984346240000 = 5743200²).

Adding to 1288451025 its reverse (5201548821), we get a palindrome (6489999846).

The spelling of 1288451025 in words is "one billion, two hundred eighty-eight million, four hundred fifty-one thousand, twenty-five".