1288035141 has 48 divisors (see below), whose sum is σ = 1893045504. Its totient is φ = 778346496.

The previous prime is 1288035139. The next prime is 1288035173. The reversal of 1288035141 is 1415308821.

It is not a de Polignac number, because 1288035141 - 2¹ = 1288035139 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1288035041) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2974461 + ... + 2974893.

It is an arithmetic number, because the mean of its divisors is an integer number (39438448).

Almost surely, 2^1288035141 is an apocalyptic number.

It is an amenable number.

1288035141 is a deficient number, since it is larger than the sum of its proper divisors (605010363).

1288035141 is a wasteful number, since it uses less digits than its factorization.

1288035141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 590 (or 573 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 33.

The square root of 1288035141 is about 35889.2064693551. The cubic root of 1288035141 is about 1088.0342599889.

The spelling of 1288035141 in words is "one billion, two hundred eighty-eight million, thirty-five thousand, one hundred forty-one".