785257201 has 2 divisors, whose sum is σ = 785257202. Its totient is φ = 785257200.

The previous prime is 785257181. The next prime is 785257243. The reversal of 785257201 is 102752587.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 753447601 + 31809600 = 27449^2 + 5640^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-785257201 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (785207201) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 392628600 + 392628601.

It is an arithmetic number, because the mean of its divisors is an integer number (392628601).

Almost surely, 2^785257201 is an apocalyptic number.

It is an amenable number.

785257201 is a deficient number, since it is larger than the sum of its proper divisors (1).

785257201 is an equidigital number, since it uses as much as digits as its factorization.

785257201 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 39200, while the sum is 37.

The square root of 785257201 is about 28022.4410250071. The cubic root of 785257201 is about 922.5798731770.

The spelling of 785257201 in words is "seven hundred eighty-five million, two hundred fifty-seven thousand, two hundred one".