7864001009 has 2 divisors, whose sum is σ = 7864001010. Its totient is φ = 7864001008.

The previous prime is 7864001003. The next prime is 7864001063. The reversal of 7864001009 is 9001004687.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7809610384 + 54390625 = 88372^2 + 7375^2 .

It is an emirp because it is prime and its reverse (9001004687) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 7864001009 - 2¹² = 7863996913 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 7864001009.

It is not a weakly prime, because it can be changed into another prime (7864001003) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3932000504 + 3932000505.

It is an arithmetic number, because the mean of its divisors is an integer number (3932000505).

Almost surely, 2^7864001009 is an apocalyptic number.

It is an amenable number.

7864001009 is a deficient number, since it is larger than the sum of its proper divisors (1).

7864001009 is an equidigital number, since it uses as much as digits as its factorization.

7864001009 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 12096, while the sum is 35.

The square root of 7864001009 is about 88679.2027986269. The cubic root of 7864001009 is about 1988.6019159902.

The spelling of 7864001009 in words is "seven billion, eight hundred sixty-four million, one thousand, nine".