1288175616001 has 8 divisors (see below), whose sum is σ = 1295700593760. Its totient is φ = 1280659406592.

The previous prime is 1288175615939. The next prime is 1288175616011. The reversal of 1288175616001 is 1006165718821.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1288175616001 - 2⁷ = 1288175615873 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1288175616011) 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 7 ways as a sum of consecutive naturals, for example, 1897291 + ... + 2485168.

It is an arithmetic number, because the mean of its divisors is an integer number (161962574220).

It is a Proth number, since it is equal to 307125 ⋅ 2²² + 1 and 307125 < 2²².

Almost surely, 2^{1288175616001} is an apocalyptic number.

It is an amenable number.

1288175616001 is a deficient number, since it is larger than the sum of its proper divisors (7524977759).

1288175616001 is a wasteful number, since it uses less digits than its factorization.

1288175616001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4384175.

The product of its (nonzero) digits is 161280, while the sum is 46.

It can be divided in two parts, 1288175 and 616001, that added together give a triangular number (1904176 = T₁₉₅₁).

The spelling of 1288175616001 in words is "one trillion, two hundred eighty-eight billion, one hundred seventy-five million, six hundred sixteen thousand, one".