1005510788138 has 16 divisors (see below), whose sum is σ = 1510917969600. Its totient is φ = 501871614816.

The previous prime is 1005510788111. The next prime is 1005510788153. The reversal of 1005510788138 is 8318870155001.

It is a super-2 number, since 2×1005510788138² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1005510788092 and 1005510788101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16601606 + ... + 16662062.

It is an arithmetic number, because the mean of its divisors is an integer number (94432373100).

Almost surely, 2^{1005510788138} is an apocalyptic number.

1005510788138 is a deficient number, since it is larger than the sum of its proper divisors (505407181462).

1005510788138 is a wasteful number, since it uses less digits than its factorization.

1005510788138 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74941.

The product of its (nonzero) digits is 268800, while the sum is 47.

The spelling of 1005510788138 in words is "one trillion, five billion, five hundred ten million, seven hundred eighty-eight thousand, one hundred thirty-eight".