513553013 has 2 divisors, whose sum is σ = 513553014. Its totient is φ = 513553012.

The previous prime is 513552989. The next prime is 513553043. The reversal of 513553013 is 310355315.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 367795684 + 145757329 = 19178^2 + 12073^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-513553013 is a prime.

It is a super-2 number, since 2×513553013² = 527473394322756338, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (513553043) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 256776506 + 256776507.

It is an arithmetic number, because the mean of its divisors is an integer number (256776507).

Almost surely, 2^513553013 is an apocalyptic number.

It is an amenable number.

513553013 is a deficient number, since it is larger than the sum of its proper divisors (1).

513553013 is an equidigital number, since it uses as much as digits as its factorization.

513553013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3375, while the sum is 26.

The square root of 513553013 is about 22661.7080777244. The cubic root of 513553013 is about 800.8080444928.

The spelling of 513553013 in words is "five hundred thirteen million, five hundred fifty-three thousand, thirteen".