785509601 has 2 divisors, whose sum is σ = 785509602. Its totient is φ = 785509600.

The previous prime is 785509583. The next prime is 785509607. The reversal of 785509601 is 106905587.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 566440000 + 219069601 = 23800^2 + 14801^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-785509601 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (785509607) 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, 392754800 + 392754801.

It is an arithmetic number, because the mean of its divisors is an integer number (392754801).

Almost surely, 2^785509601 is an apocalyptic number.

It is an amenable number.

785509601 is a deficient number, since it is larger than the sum of its proper divisors (1).

785509601 is an equidigital number, since it uses as much as digits as its factorization.

785509601 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 75600, while the sum is 41.

The square root of 785509601 is about 28026.9441966119. The cubic root of 785509601 is about 922.6787088262.

The spelling of 785509601 in words is "seven hundred eighty-five million, five hundred nine thousand, six hundred one".