513128741 has 2 divisors, whose sum is σ = 513128742. Its totient is φ = 513128740.

The previous prime is 513128729. The next prime is 513128743. The reversal of 513128741 is 147821315.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 405176641 + 107952100 = 20129^2 + 10390^2 .

It is a cyclic number.

It is not a de Polignac number, because 513128741 - 2¹⁸ = 512866597 is a prime.

It is a super-2 number, since 2×513128741² = 526602209680490162, which contains 22 as substring.

Together with 513128743, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 513128698 and 513128707.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (513128743) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 256564370 + 256564371.

It is an arithmetic number, because the mean of its divisors is an integer number (256564371).

Almost surely, 2^513128741 is an apocalyptic number.

It is an amenable number.

513128741 is a deficient number, since it is larger than the sum of its proper divisors (1).

513128741 is an equidigital number, since it uses as much as digits as its factorization.

513128741 is an evil number, because the sum of its binary digits is even.

The product of its digits is 6720, while the sum is 32.

The square root of 513128741 is about 22652.3451545309. The cubic root of 513128741 is about 800.5874544535.

The spelling of 513128741 in words is "five hundred thirteen million, one hundred twenty-eight thousand, seven hundred forty-one".