1005412521 has 16 divisors (see below), whose sum is σ = 1420070400. Its totient is φ = 630551808.

The previous prime is 1005412489. The next prime is 1005412523. The reversal of 1005412521 is 1252145001.

It is not a de Polignac number, because 1005412521 - 2⁵ = 1005412489 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1005412523) 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, 168375 + ... + 174243.

It is an arithmetic number, because the mean of its divisors is an integer number (88754400).

Almost surely, 2^1005412521 is an apocalyptic number.

It is an amenable number.

1005412521 is a deficient number, since it is larger than the sum of its proper divisors (414657879).

1005412521 is a wasteful number, since it uses less digits than its factorization.

1005412521 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9248.

The product of its (nonzero) digits is 400, while the sum is 21.

The square root of 1005412521 is about 31708.2405850593. The cubic root of 1005412521 is about 1001.8009283766.

Adding to 1005412521 its reverse (1252145001), we get a palindrome (2257557522).

The spelling of 1005412521 in words is "one billion, five million, four hundred twelve thousand, five hundred twenty-one".