513765113 has 2 divisors, whose sum is σ = 513765114. Its totient is φ = 513765112.

The previous prime is 513765089. The next prime is 513765127. The reversal of 513765113 is 311567315.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 347561449 + 166203664 = 18643^2 + 12892^2 .

It is a cyclic number.

It is not a de Polignac number, because 513765113 - 2⁸ = 513764857 is a prime.

It is a super-3 number, since 3×513765113³ (a number of 27 digits) contains 333 as substring.

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 513765113.

It is not a weakly prime, because it can be changed into another prime (513765163) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 256882556 + 256882557.

It is an arithmetic number, because the mean of its divisors is an integer number (256882557).

Almost surely, 2^513765113 is an apocalyptic number.

It is an amenable number.

513765113 is a deficient number, since it is larger than the sum of its proper divisors (1).

513765113 is an equidigital number, since it uses as much as digits as its factorization.

513765113 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 9450, while the sum is 32.

The square root of 513765113 is about 22666.3872948470. The cubic root of 513765113 is about 800.9182752474.

The spelling of 513765113 in words is "five hundred thirteen million, seven hundred sixty-five thousand, one hundred thirteen".