1005516345 has 16 divisors (see below), whose sum is σ = 1629192960. Its totient is φ = 529486464.

The previous prime is 1005516319. The next prime is 1005516353. The reversal of 1005516345 is 5436155001.

It is not a de Polignac number, because 1005516345 - 2⁵ = 1005516313 is a prime.

It is a super-2 number, since 2×1005516345² = 2022126240124318050, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 423084 + ... + 425453.

It is an arithmetic number, because the mean of its divisors is an integer number (101824560).

Almost surely, 2^1005516345 is an apocalyptic number.

1005516345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1005516345 is a deficient number, since it is larger than the sum of its proper divisors (623676615).

1005516345 is an equidigital number, since it uses as much as digits as its factorization.

1005516345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 848624.

The product of its (nonzero) digits is 9000, while the sum is 30.

The square root of 1005516345 is about 31709.8777197264. The cubic root of 1005516345 is about 1001.8354108726.

The spelling of 1005516345 in words is "one billion, five million, five hundred sixteen thousand, three hundred forty-five".