513501641 has 2 divisors, whose sum is σ = 513501642. Its totient is φ = 513501640.

The previous prime is 513501631. The next prime is 513501673. The reversal of 513501641 is 146105315.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 492662416 + 20839225 = 22196^2 + 4565^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-513501641 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 513501641.

It is not a weakly prime, because it can be changed into another prime (513501631) 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, 256750820 + 256750821.

It is an arithmetic number, because the mean of its divisors is an integer number (256750821).

Almost surely, 2^513501641 is an apocalyptic number.

It is an amenable number.

513501641 is a deficient number, since it is larger than the sum of its proper divisors (1).

513501641 is an equidigital number, since it uses as much as digits as its factorization.

513501641 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1800, while the sum is 26.

The square root of 513501641 is about 22660.5745955393. The cubic root of 513501641 is about 800.7813413212.

Adding to 513501641 its reverse (146105315), we get a palindrome (659606956).

The spelling of 513501641 in words is "five hundred thirteen million, five hundred one thousand, six hundred forty-one".