513185921 has 2 divisors, whose sum is σ = 513185922. Its totient is φ = 513185920.

The previous prime is 513185917. The next prime is 513185927. The reversal of 513185921 is 129581315.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 301890625 + 211295296 = 17375^2 + 14536^2 .

It is a cyclic number.

It is not a de Polignac number, because 513185921 - 2² = 513185917 is a prime.

It is a Chen prime.

It is equal to p_27012896 and since 513185921 and 27012896 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (513185927) 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, 256592960 + 256592961.

It is an arithmetic number, because the mean of its divisors is an integer number (256592961).

Almost surely, 2^513185921 is an apocalyptic number.

It is an amenable number.

513185921 is a deficient number, since it is larger than the sum of its proper divisors (1).

513185921 is an equidigital number, since it uses as much as digits as its factorization.

513185921 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 10800, while the sum is 35.

The square root of 513185921 is about 22653.6072403492. The cubic root of 513185921 is about 800.6171909093.

The spelling of 513185921 in words is "five hundred thirteen million, one hundred eighty-five thousand, nine hundred twenty-one".