1005132405 has 16 divisors (see below), whose sum is σ = 1628570880. Its totient is φ = 529284288.

The previous prime is 1005132391. The next prime is 1005132413. The reversal of 1005132405 is 5042315001.

It is not a de Polignac number, because 1005132405 - 2⁴ = 1005132389 is a prime.

It is a Curzon number.

It is a congruent number.

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, 422922 + ... + 425291.

It is an arithmetic number, because the mean of its divisors is an integer number (101785680).

Almost surely, 2^1005132405 is an apocalyptic number.

1005132405 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1005132405 is a deficient number, since it is larger than the sum of its proper divisors (623438475).

1005132405 is an equidigital number, since it uses as much as digits as its factorization.

1005132405 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 848300.

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 1005132405 is about 31703.8231921641. The cubic root of 1005132405 is about 1001.7078831413.

Adding to 1005132405 its reverse (5042315001), we get a palindrome (6047447406).

The spelling of 1005132405 in words is "one billion, five million, one hundred thirty-two thousand, four hundred five".