1005400541 has 8 divisors (see below), whose sum is σ = 1063891584. Its totient is φ = 948141040.

The previous prime is 1005400511. The next prime is 1005400559. The reversal of 1005400541 is 1450045001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1005400541 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005400511) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 306206 + ... + 309471.

It is an arithmetic number, because the mean of its divisors is an integer number (132986448).

Almost surely, 2^1005400541 is an apocalyptic number.

It is an amenable number.

1005400541 is a deficient number, since it is larger than the sum of its proper divisors (58491043).

1005400541 is an equidigital number, since it uses as much as digits as its factorization.

1005400541 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 615771.

The product of its (nonzero) digits is 400, while the sum is 20.

The square root of 1005400541 is about 31708.0516746141. The cubic root of 1005400541 is about 1001.7969493722.

Adding to 1005400541 its reverse (1450045001), we get a palindrome (2455445542).

The spelling of 1005400541 in words is "one billion, five million, four hundred thousand, five hundred forty-one".