513521413 has 2 divisors, whose sum is σ = 513521414. Its totient is φ = 513521412.

The previous prime is 513521387. The next prime is 513521507. The reversal of 513521413 is 314125315.

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., 263185729 + 250335684 = 16223^2 + 15822^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-513521413 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (513521213) 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 as a sum of consecutive naturals, namely, 256760706 + 256760707.

It is an arithmetic number, because the mean of its divisors is an integer number (256760707).

Almost surely, 2^513521413 is an apocalyptic number.

It is an amenable number.

513521413 is a deficient number, since it is larger than the sum of its proper divisors (1).

513521413 is an equidigital number, since it uses as much as digits as its factorization.

513521413 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1800, while the sum is 25.

The square root of 513521413 is about 22661.0108556525. The cubic root of 513521413 is about 800.7916190200.

Adding to 513521413 its reverse (314125315), we get a palindrome (827646728).

The spelling of 513521413 in words is "five hundred thirteen million, five hundred twenty-one thousand, four hundred thirteen".