1005531525 has 36 divisors (see below), whose sum is σ = 1805715652. Its totient is φ = 534885120.

The previous prime is 1005531389. The next prime is 1005531539. The reversal of 1005531525 is 5251355001.

1005531525 is a `hidden beast` number, since 100 + 5 + 5 + 31 + 525 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 19131876 + 986399649 = 4374^2 + 31407^2 .

It is not a de Polignac number, because 1005531525 - 2⁹ = 1005531013 is a prime.

It is a super-2 number, since 2×1005531525² = 2022187295537651250, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 83697 + ... + 94953.

Almost surely, 2^1005531525 is an apocalyptic number.

1005531525 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1005531525 is a deficient number, since it is larger than the sum of its proper divisors (800184127).

1005531525 is a wasteful number, since it uses less digits than its factorization.

1005531525 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11670 (or 11662 counting only the distinct ones).

The product of its (nonzero) digits is 3750, while the sum is 27.

The square root of 1005531525 is about 31710.1170764158. The cubic root of 1005531525 is about 1001.8404523239.

Adding to 1005531525 its reverse (5251355001), we get a palindrome (6256886526).

The spelling of 1005531525 in words is "one billion, five million, five hundred thirty-one thousand, five hundred twenty-five".