513805601 has 2 divisors, whose sum is σ = 513805602. Its totient is φ = 513805600.

The previous prime is 513805597. The next prime is 513805613. The reversal of 513805601 is 106508315.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 470890000 + 42915601 = 21700^2 + 6551^2 .

It is a cyclic number.

It is not a de Polignac number, because 513805601 - 2² = 513805597 is a prime.

It is not a weakly prime, because it can be changed into another prime (513805631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 256902800 + 256902801.

It is an arithmetic number, because the mean of its divisors is an integer number (256902801).

Almost surely, 2^513805601 is an apocalyptic number.

It is an amenable number.

513805601 is a deficient number, since it is larger than the sum of its proper divisors (1).

513805601 is an equidigital number, since it uses as much as digits as its factorization.

513805601 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3600, while the sum is 29.

The square root of 513805601 is about 22667.2804059067. The cubic root of 513805601 is about 800.9393138677.

The spelling of 513805601 in words is "five hundred thirteen million, eight hundred five thousand, six hundred one".