1009616681 has 2 divisors, whose sum is σ = 1009616682. Its totient is φ = 1009616680.

The previous prime is 1009616659. The next prime is 1009616687. The reversal of 1009616681 is 1866169001.

1009616681 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 980629225 + 28987456 = 31315^2 + 5384^2 .

It is an emirp because it is prime and its reverse (1866169001) is a distict prime. It is also a bemirp because it and its reverse can be mirrored producing other two distinct primes, 1899196001 and 1006919981.

It is a cyclic number.

It is not a de Polignac number, because 1009616681 - 2⁶ = 1009616617 is a prime.

It is a super-2 number, since 2×1009616681² = 2038651685106911522, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (1009616687) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 504808340 + 504808341.

It is an arithmetic number, because the mean of its divisors is an integer number (504808341).

Almost surely, 2^1009616681 is an apocalyptic number.

It is an amenable number.

1009616681 is a deficient number, since it is larger than the sum of its proper divisors (1).

1009616681 is an equidigital number, since it uses as much as digits as its factorization.

1009616681 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 15552, while the sum is 38.

The square root of 1009616681 is about 31774.4658649048. The cubic root of 1009616681 is about 1003.1953392653.

The spelling of 1009616681 in words is "one billion, nine million, six hundred sixteen thousand, six hundred eighty-one".