1005541525 has 6 divisors (see below), whose sum is σ = 1246871522. Its totient is φ = 804433200.

The previous prime is 1005541499. The next prime is 1005541553. The reversal of 1005541525 is 5251455001.

It can be written as a sum of positive squares in 3 ways, for example, as 19518724 + 986022801 = 4418^2 + 31401^2 .

It is not a de Polignac number, because 1005541525 - 2¹⁷ = 1005410453 is a prime.

It is a super-2 number, since 2×1005541525² = 2022227516998651250, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1005541493 and 1005541502.

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 5 ways as a sum of consecutive naturals, for example, 20110806 + ... + 20110855.

Almost surely, 2^1005541525 is an apocalyptic number.

It is an amenable number.

1005541525 is a deficient number, since it is larger than the sum of its proper divisors (241329997).

1005541525 is an equidigital number, since it uses as much as digits as its factorization.

1005541525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40221671 (or 40221666 counting only the distinct ones).

The product of its (nonzero) digits is 5000, while the sum is 28.

The square root of 1005541525 is about 31710.2747544073. The cubic root of 1005541525 is about 1001.8437734103.

Adding to 1005541525 its reverse (5251455001), we get a palindrome (6256996526).

The spelling of 1005541525 in words is "one billion, five million, five hundred forty-one thousand, five hundred twenty-five".