513113129 has 2 divisors, whose sum is σ = 513113130. Its totient is φ = 513113128.

The previous prime is 513113123. The next prime is 513113149. The reversal of 513113129 is 921311315.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 513113104 + 25 = 22652^2 + 5^2 .

It is a cyclic number.

It is not a de Polignac number, because 513113129 - 2⁴ = 513113113 is a prime.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 513113098 and 513113107.

It is not a weakly prime, because it can be changed into another prime (513113123) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 256556564 + 256556565.

It is an arithmetic number, because the mean of its divisors is an integer number (256556565).

Almost surely, 2^513113129 is an apocalyptic number.

It is an amenable number.

513113129 is a deficient number, since it is larger than the sum of its proper divisors (1).

513113129 is an equidigital number, since it uses as much as digits as its factorization.

513113129 is an evil number, because the sum of its binary digits is even.

The product of its digits is 810, while the sum is 26.

The square root of 513113129 is about 22652.0005518276. Note that the first 3 decimals coincide. The cubic root of 513113129 is about 800.5793350499.

The spelling of 513113129 in words is "five hundred thirteen million, one hundred thirteen thousand, one hundred twenty-nine".