1005541530 has 64 divisors (see below), whose sum is σ = 2761267968. Its totient is φ = 229570560.

The previous prime is 1005541499. The next prime is 1005541553. The reversal of 1005541530 is 351455001.

It is a super-2 number, since 2×1005541530² = 2022227537109481800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1005541530.

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 31 ways as a sum of consecutive naturals, for example, 220554 + ... + 225066.

It is an arithmetic number, because the mean of its divisors is an integer number (43144812).

Almost surely, 2^1005541530 is an apocalyptic number.

1005541530 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1005541530 is an abundant number, since it is smaller than the sum of its proper divisors (1755726438).

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

1005541530 is a wasteful number, since it uses less digits than its factorization.

1005541530 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5591.

The product of its (nonzero) digits is 1500, while the sum is 24.

The square root of 1005541530 is about 31710.2748332461. The cubic root of 1005541530 is about 1001.8437750708.

Adding to 1005541530 its reverse (351455001), we get a palindrome (1356996531).

It can be divided in two parts, 1005541 and 530, that added together give a triangular number (1006071 = T₁₄₁₈).

The spelling of 1005541530 in words is "one billion, five million, five hundred forty-one thousand, five hundred thirty".