1005541536 has 24 divisors (see below), whose sum is σ = 2639546784. Its totient is φ = 335180480.

The previous prime is 1005541499. The next prime is 1005541553. The reversal of 1005541536 is 6351455001.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×1005541536² = 2022227561242478592, which contains 22 as substring.

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 3 ways as a sum of consecutive naturals, for example, 5237100 + ... + 5237291.

It is an arithmetic number, because the mean of its divisors is an integer number (109981116).

Almost surely, 2^1005541536 is an apocalyptic number.

1005541536 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1005541536 is an abundant number, since it is smaller than the sum of its proper divisors (1634005248).

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

1005541536 is a wasteful number, since it uses less digits than its factorization.

1005541536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10474404 (or 10474396 counting only the distinct ones).

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

The square root of 1005541536 is about 31710.2749278526. The cubic root of 1005541536 is about 1001.8437770635.

Adding to 1005541536 its reverse (6351455001), we get a palindrome (7356996537).

The spelling of 1005541536 in words is "one billion, five million, five hundred forty-one thousand, five hundred thirty-six".