1006511521 has 2 divisors, whose sum is σ = 1006511522. Its totient is φ = 1006511520.

The previous prime is 1006511477. The next prime is 1006511573. The reversal of 1006511521 is 1251156001.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 909685921 + 96825600 = 30161^2 + 9840^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1006511521 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1006511492 and 1006511501.

It is not a weakly prime, because it can be changed into another prime (1006511921) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 503255760 + 503255761.

It is an arithmetic number, because the mean of its divisors is an integer number (503255761).

Almost surely, 2^1006511521 is an apocalyptic number.

It is an amenable number.

1006511521 is a deficient number, since it is larger than the sum of its proper divisors (1).

1006511521 is an equidigital number, since it uses as much as digits as its factorization.

1006511521 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 300, while the sum is 22.

The square root of 1006511521 is about 31725.5657317565. The cubic root of 1006511521 is about 1002.1658128682.

Adding to 1006511521 its reverse (1251156001), we get a palindrome (2257667522).

The spelling of 1006511521 in words is "one billion, six million, five hundred eleven thousand, five hundred twenty-one".