1005541405 has 16 divisors (see below), whose sum is σ = 1334890368. Its totient is φ = 721000000.

The previous prime is 1005541399. The next prime is 1005541417. The reversal of 1005541405 is 5041455001.

It is a happy number.

It is not a de Polignac number, because 1005541405 - 2¹¹ = 1005539357 is a prime.

It is a super-2 number, since 2×1005541405² = 2022227034338748050, which contains 22 as substring.

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 1005541405.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 124846 + ... + 132655.

It is an arithmetic number, because the mean of its divisors is an integer number (83430648).

Almost surely, 2^1005541405 is an apocalyptic number.

It is an amenable number.

1005541405 is a deficient number, since it is larger than the sum of its proper divisors (329348963).

1005541405 is a wasteful number, since it uses less digits than its factorization.

1005541405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257588.

The product of its (nonzero) digits is 2000, while the sum is 25.

The square root of 1005541405 is about 31710.2728622760. The cubic root of 1005541405 is about 1001.8437335574.

Adding to 1005541405 its reverse (5041455001), we get a palindrome (6046996406).

The spelling of 1005541405 in words is "one billion, five million, five hundred forty-one thousand, four hundred five".