1005523113 has 16 divisors (see below), whose sum is σ = 1532794880. Its totient is φ = 574371216.

The previous prime is 1005523093. The next prime is 1005523121. The reversal of 1005523113 is 3113255001.

It is not a de Polignac number, because 1005523113 - 2⁹ = 1005522601 is a prime.

It is a super-2 number, since 2×1005523113² = 2022153461554421538, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1005523113.

It is not an unprimeable number, because it can be changed into a prime (1005523133) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 62208 + ... + 76686.

It is an arithmetic number, because the mean of its divisors is an integer number (95799680).

Almost surely, 2^1005523113 is an apocalyptic number.

It is an amenable number.

1005523113 is a deficient number, since it is larger than the sum of its proper divisors (527271767).

1005523113 is a wasteful number, since it uses less digits than its factorization.

1005523113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17796.

The product of its (nonzero) digits is 450, while the sum is 21.

The square root of 1005523113 is about 31709.9844370823. The cubic root of 1005523113 is about 1001.8376586089.

Adding to 1005523113 its reverse (3113255001), we get a palindrome (4118778114).

The spelling of 1005523113 in words is "one billion, five million, five hundred twenty-three thousand, one hundred thirteen".