1005140521 has 16 divisors (see below), whose sum is σ = 1326879360. Its totient is φ = 737153280.

The previous prime is 1005140473. The next prime is 1005140561. The reversal of 1005140521 is 1250415001.

It is a cyclic number.

It is not a de Polignac number, because 1005140521 - 2⁹ = 1005140009 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1005140561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 382626 + ... + 385243.

It is an arithmetic number, because the mean of its divisors is an integer number (82929960).

Almost surely, 2^1005140521 is an apocalyptic number.

1005140521 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1005140521 is a deficient number, since it is larger than the sum of its proper divisors (321738839).

1005140521 is a wasteful number, since it uses less digits than its factorization.

1005140521 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 767904.

The product of its (nonzero) digits is 200, while the sum is 19.

The square root of 1005140521 is about 31703.9511890868. The cubic root of 1005140521 is about 1001.7105792502.

Adding to 1005140521 its reverse (1250415001), we get a palindrome (2255555522).

The spelling of 1005140521 in words is "one billion, five million, one hundred forty thousand, five hundred twenty-one".