513364729 has 2 divisors, whose sum is σ = 513364730. Its totient is φ = 513364728.

The previous prime is 513364697. The next prime is 513364739. The reversal of 513364729 is 927463315.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 468809104 + 44555625 = 21652^2 + 6675^2 .

It is a cyclic number.

It is not a de Polignac number, because 513364729 - 2⁵ = 513364697 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 513364691 and 513364700.

It is not a weakly prime, because it can be changed into another prime (513364739) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 256682364 + 256682365.

It is an arithmetic number, because the mean of its divisors is an integer number (256682365).

Almost surely, 2^513364729 is an apocalyptic number.

It is an amenable number.

513364729 is a deficient number, since it is larger than the sum of its proper divisors (1).

513364729 is an equidigital number, since it uses as much as digits as its factorization.

513364729 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 136080, while the sum is 40.

The square root of 513364729 is about 22657.5534645734. The cubic root of 513364729 is about 800.7101657484.

It can be divided in two parts, 51336 and 4729, that added together give a palindrome (56065).

The spelling of 513364729 in words is "five hundred thirteen million, three hundred sixty-four thousand, seven hundred twenty-nine".