513690641 has 2 divisors, whose sum is σ = 513690642. Its totient is φ = 513690640.

The previous prime is 513690637. The next prime is 513690643. The reversal of 513690641 is 146096315.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 453860416 + 59830225 = 21304^2 + 7735^2 .

It is a cyclic number.

It is not a de Polignac number, because 513690641 - 2² = 513690637 is a prime.

Together with 513690643, 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 (513690643) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 256845320 + 256845321.

It is an arithmetic number, because the mean of its divisors is an integer number (256845321).

Almost surely, 2^513690641 is an apocalyptic number.

It is an amenable number.

513690641 is a deficient number, since it is larger than the sum of its proper divisors (1).

513690641 is an equidigital number, since it uses as much as digits as its factorization.

513690641 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 19440, while the sum is 35.

The square root of 513690641 is about 22664.7444503573. The cubic root of 513690641 is about 800.8795747684.

The spelling of 513690641 in words is "five hundred thirteen million, six hundred ninety thousand, six hundred forty-one".