288001131 has 16 divisors (see below), whose sum is σ = 443553408. Its totient is φ = 164278400.

The previous prime is 288001111. The next prime is 288001141. The reversal of 288001131 is 131100882.

It is not a de Polignac number, because 288001131 - 2⁹ = 288000619 is a prime.

It is a super-2 number, since 2×288001131² = 165889302914558322, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (288001111) 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 15 ways as a sum of consecutive naturals, for example, 256125 + ... + 257246.

It is an arithmetic number, because the mean of its divisors is an integer number (27722088).

Almost surely, 2^288001131 is an apocalyptic number.

288001131 is a deficient number, since it is larger than the sum of its proper divisors (155552277).

288001131 is a wasteful number, since it uses less digits than its factorization.

288001131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 513402.

The product of its (nonzero) digits is 384, while the sum is 24.

The square root of 288001131 is about 16970.5960708515. The cubic root of 288001131 is about 660.3863142407.

The spelling of 288001131 in words is "two hundred eighty-eight million, one thousand, one hundred thirty-one".