1287882252801 has 9 divisors (see below), whose sum is σ = 1860279282849. Its totient is φ = 858585898836.

The previous prime is 1287882252751. The next prime is 1287882252823. The reversal of 1287882252801 is 1082522887821.

The square root of 1287882252801 is 1134849.

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

1287882252801 is a `hidden beast` number, since 1 + 28 + 78 + 8 + 22 + 528 + 0 + 1 = 666.

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 1287882252801 - 2¹⁹ = 1287881728513 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1287882252871) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3215406 + ... + 3593688.

Almost surely, 2^{1287882252801} is an apocalyptic number.

1287882252801 is the 1134849-th square number.

1287882252801 is the 567425-th centered octagonal number.

It is an amenable number.

1287882252801 is a deficient number, since it is larger than the sum of its proper divisors (572397030048).

1287882252801 is an frugal number, since it uses more digits than its factorization.

1287882252801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 756572 (or 378286 counting only the distinct ones).

The product of its (nonzero) digits is 2293760, while the sum is 54.

The spelling of 1287882252801 in words is "one trillion, two hundred eighty-seven billion, eight hundred eighty-two million, two hundred fifty-two thousand, eight hundred one".