1005524142 has 64 divisors (see below), whose sum is σ = 2323776000. Its totient is φ = 284135040.

The previous prime is 1005524123. The next prime is 1005524203. The reversal of 1005524142 is 2414255001.

It is a super-2 number, since 2×1005524142² = 2022157600289672328, which contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 2652909 + ... + 2653287.

It is an arithmetic number, because the mean of its divisors is an integer number (36309000).

Almost surely, 2^1005524142 is an apocalyptic number.

1005524142 is an abundant number, since it is smaller than the sum of its proper divisors (1318251858).

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

1005524142 is a wasteful number, since it uses less digits than its factorization.

1005524142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 921.

The product of its (nonzero) digits is 1600, while the sum is 24.

The square root of 1005524142 is about 31710.0006622516. Note that the first 3 decimals coincide. The cubic root of 1005524142 is about 1001.8380003516.

Adding to 1005524142 its reverse (2414255001), we get a palindrome (3419779143).

The spelling of 1005524142 in words is "one billion, five million, five hundred twenty-four thousand, one hundred forty-two".