1006681957 has 2 divisors, whose sum is σ = 1006681958. Its totient is φ = 1006681956.

The previous prime is 1006681943. The next prime is 1006681967. The reversal of 1006681957 is 7591866001.

It is a happy number.

1006681957 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., 993132196 + 13549761 = 31514^2 + 3681^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1006681957 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1006681927) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 503340978 + 503340979.

It is an arithmetic number, because the mean of its divisors is an integer number (503340979).

Almost surely, 2^1006681957 is an apocalyptic number.

It is an amenable number.

1006681957 is a deficient number, since it is larger than the sum of its proper divisors (1).

1006681957 is an equidigital number, since it uses as much as digits as its factorization.

1006681957 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 90720, while the sum is 43.

The square root of 1006681957 is about 31728.2517167272. The cubic root of 1006681957 is about 1002.2223763845. Note that the first 3 decimals are identical.

The spelling of 1006681957 in words is "one billion, six million, six hundred eighty-one thousand, nine hundred fifty-seven".