1288041567 has 32 divisors (see below), whose sum is σ = 1877126400. Its totient is φ = 782504448.

The previous prime is 1288041551. The next prime is 1288041569. The reversal of 1288041567 is 7651408821.

It is not a de Polignac number, because 1288041567 - 2⁴ = 1288041551 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1288041569) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 198409 + ... + 204797.

It is an arithmetic number, because the mean of its divisors is an integer number (58660200).

Almost surely, 2^1288041567 is an apocalyptic number.

1288041567 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

1288041567 is a deficient number, since it is larger than the sum of its proper divisors (589084833).

1288041567 is a wasteful number, since it uses less digits than its factorization.

1288041567 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6535.

The product of its (nonzero) digits is 107520, while the sum is 42.

The square root of 1288041567 is about 35889.2959947670. The cubic root of 1288041567 is about 1088.0360693848.

The spelling of 1288041567 in words is "one billion, two hundred eighty-eight million, forty-one thousand, five hundred sixty-seven".