513417521 has 2 divisors, whose sum is σ = 513417522. Its totient is φ = 513417520.

The previous prime is 513417511. The next prime is 513417529. The reversal of 513417521 is 125714315.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 462723121 + 50694400 = 21511^2 + 7120^2 .

It is a cyclic number.

It is not a de Polignac number, because 513417521 - 2²² = 509223217 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (513417529) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 256708760 + 256708761.

It is an arithmetic number, because the mean of its divisors is an integer number (256708761).

Almost surely, 2^513417521 is an apocalyptic number.

It is an amenable number.

513417521 is a deficient number, since it is larger than the sum of its proper divisors (1).

513417521 is an equidigital number, since it uses as much as digits as its factorization.

513417521 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 4200, while the sum is 29.

The square root of 513417521 is about 22658.7184324268. The cubic root of 513417521 is about 800.7376118894.

The spelling of 513417521 in words is "five hundred thirteen million, four hundred seventeen thousand, five hundred twenty-one".