1002681721 has 2 divisors, whose sum is σ = 1002681722. Its totient is φ = 1002681720.

The previous prime is 1002681689. The next prime is 1002681731. The reversal of 1002681721 is 1271862001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 963481600 + 39200121 = 31040^2 + 6261^2 .

It is a cyclic number.

It is not a de Polignac number, because 1002681721 - 2⁵ = 1002681689 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1002681721.

It is not a weakly prime, because it can be changed into another prime (1002681731) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 501340860 + 501340861.

It is an arithmetic number, because the mean of its divisors is an integer number (501340861).

Almost surely, 2^1002681721 is an apocalyptic number.

It is an amenable number.

1002681721 is a deficient number, since it is larger than the sum of its proper divisors (1).

1002681721 is an equidigital number, since it uses as much as digits as its factorization.

1002681721 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1344, while the sum is 28.

The square root of 1002681721 is about 31665.1499443789. The cubic root of 1002681721 is about 1000.8931091186.

The spelling of 1002681721 in words is "one billion, two million, six hundred eighty-one thousand, seven hundred twenty-one".