1005135888 has 40 divisors (see below), whose sum is σ = 2597824800. Its totient is φ = 334887424.

The previous prime is 1005135871. The next prime is 1005135889. The reversal of 1005135888 is 8885315001.

It is not an unprimeable number, because it can be changed into a prime (1005135889) 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, 144883 + ... + 151661.

It is an arithmetic number, because the mean of its divisors is an integer number (64945620).

Almost surely, 2^1005135888 is an apocalyptic number.

It is an amenable number.

1005135888 is an abundant number, since it is smaller than the sum of its proper divisors (1592688912).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1005135888 is a wasteful number, since it uses less digits than its factorization.

1005135888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9879 (or 9873 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 39.

The square root of 1005135888 is about 31703.8781224001. The cubic root of 1005135888 is about 1001.7090401844.

The spelling of 1005135888 in words is "one billion, five million, one hundred thirty-five thousand, eight hundred eighty-eight".