385509013 has 2 divisors, whose sum is σ = 385509014. Its totient is φ = 385509012.

The previous prime is 385509001. The next prime is 385509043. The reversal of 385509013 is 310905583.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 327718609 + 57790404 = 18103^2 + 7602^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-385509013 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 385509013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (385509043) 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, 192754506 + 192754507.

It is an arithmetic number, because the mean of its divisors is an integer number (192754507).

Almost surely, 2^385509013 is an apocalyptic number.

It is an amenable number.

385509013 is a deficient number, since it is larger than the sum of its proper divisors (1).

385509013 is an equidigital number, since it uses as much as digits as its factorization.

385509013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16200, while the sum is 34.

The square root of 385509013 is about 19634.3834382442. The cubic root of 385509013 is about 727.7990963607.

The spelling of 385509013 in words is "three hundred eighty-five million, five hundred nine thousand, thirteen".