513004813 has 2 divisors, whose sum is σ = 513004814. Its totient is φ = 513004812.

The previous prime is 513004781. The next prime is 513004819. The reversal of 513004813 is 318400315.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 491641929 + 21362884 = 22173^2 + 4622^2 .

It is a cyclic number.

It is not a de Polignac number, because 513004813 - 2⁵ = 513004781 is a prime.

It is a super-2 number, since 2×513004813² = 526347876322329938, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (513004819) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 256502406 + 256502407.

It is an arithmetic number, because the mean of its divisors is an integer number (256502407).

Almost surely, 2^513004813 is an apocalyptic number.

It is an amenable number.

513004813 is a deficient number, since it is larger than the sum of its proper divisors (1).

513004813 is an equidigital number, since it uses as much as digits as its factorization.

513004813 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1440, while the sum is 25.

The square root of 513004813 is about 22649.6095551336. The cubic root of 513004813 is about 800.5229981209.

The spelling of 513004813 in words is "five hundred thirteen million, four thousand, eight hundred thirteen".