513013561 has 2 divisors, whose sum is σ = 513013562. Its totient is φ = 513013560.

The previous prime is 513013511. The next prime is 513013577. The reversal of 513013561 is 165310315.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 489781161 + 23232400 = 22131^2 + 4820^2 .

It is a cyclic number.

It is not a de Polignac number, because 513013561 - 2²¹ = 510916409 is a prime.

It is not a weakly prime, because it can be changed into another prime (513013511) by changing a digit.

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 as a sum of consecutive naturals, namely, 256506780 + 256506781.

It is an arithmetic number, because the mean of its divisors is an integer number (256506781).

Almost surely, 2^513013561 is an apocalyptic number.

It is an amenable number.

513013561 is a deficient number, since it is larger than the sum of its proper divisors (1).

513013561 is an equidigital number, since it uses as much as digits as its factorization.

513013561 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1350, while the sum is 25.

The square root of 513013561 is about 22649.8026702221. The cubic root of 513013561 is about 800.5275483936.

Adding to 513013561 its reverse (165310315), we get a palindrome (678323876).

The spelling of 513013561 in words is "five hundred thirteen million, thirteen thousand, five hundred sixty-one".