513646121 has 2 divisors, whose sum is σ = 513646122. Its totient is φ = 513646120.

The previous prime is 513646093. The next prime is 513646123. The reversal of 513646121 is 121646315.

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., 503374096 + 10272025 = 22436^2 + 3205^2 .

It is a cyclic number.

It is not a de Polignac number, because 513646121 - 2¹⁴ = 513629737 is a prime.

Together with 513646123, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (513646123) 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, 256823060 + 256823061.

It is an arithmetic number, because the mean of its divisors is an integer number (256823061).

Almost surely, 2^513646121 is an apocalyptic number.

It is an amenable number.

513646121 is a deficient number, since it is larger than the sum of its proper divisors (1).

513646121 is an equidigital number, since it uses as much as digits as its factorization.

513646121 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 4320, while the sum is 29.

The square root of 513646121 is about 22663.7622869637. The cubic root of 513646121 is about 800.8564375038.

The spelling of 513646121 in words is "five hundred thirteen million, six hundred forty-six thousand, one hundred twenty-one".