1001785201 has 2 divisors, whose sum is σ = 1001785202. Its totient is φ = 1001785200.

The previous prime is 1001785199. The next prime is 1001785219. The reversal of 1001785201 is 1025871001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 832264801 + 169520400 = 28849^2 + 13020^2 .

It is a cyclic number.

It is not a de Polignac number, because 1001785201 - 2¹ = 1001785199 is a prime.

It is a super-2 number, since 2×1001785201² = 2007147177885220802, which contains 22 as substring.

Together with 1001785199, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (1001785261) 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, 500892600 + 500892601.

It is an arithmetic number, because the mean of its divisors is an integer number (500892601).

Almost surely, 2^1001785201 is an apocalyptic number.

It is an amenable number.

1001785201 is a deficient number, since it is larger than the sum of its proper divisors (1).

1001785201 is an equidigital number, since it uses as much as digits as its factorization.

1001785201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 560, while the sum is 25.

The square root of 1001785201 is about 31650.9905216251. The cubic root of 1001785201 is about 1000.5947132460.

The spelling of 1001785201 in words is "one billion, one million, seven hundred eighty-five thousand, two hundred one".