513063601 has 2 divisors, whose sum is σ = 513063602. Its totient is φ = 513063600.

The previous prime is 513063581. The next prime is 513063623. The reversal of 513063601 is 106360315.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 472410225 + 40653376 = 21735^2 + 6376^2 .

It is a cyclic number.

It is not a de Polignac number, because 513063601 - 2¹³ = 513055409 is a prime.

It is not a weakly prime, because it can be changed into another prime (513063101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 256531800 + 256531801.

It is an arithmetic number, because the mean of its divisors is an integer number (256531801).

Almost surely, 2^513063601 is an apocalyptic number.

It is an amenable number.

513063601 is a deficient number, since it is larger than the sum of its proper divisors (1).

513063601 is an equidigital number, since it uses as much as digits as its factorization.

513063601 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1620, while the sum is 25.

The square root of 513063601 is about 22650.9072886717. The cubic root of 513063601 is about 800.5535757082.

The spelling of 513063601 in words is "five hundred thirteen million, sixty-three thousand, six hundred one".