1006085761 has 2 divisors, whose sum is σ = 1006085762. Its totient is φ = 1006085760.

The previous prime is 1006085699. The next prime is 1006085767. The reversal of 1006085761 is 1675806001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 900900225 + 105185536 = 30015^2 + 10256^2 .

It is a cyclic number.

It is not a de Polignac number, because 1006085761 - 2²⁷ = 871868033 is a prime.

It is not a weakly prime, because it can be changed into another prime (1006085767) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 503042880 + 503042881.

It is an arithmetic number, because the mean of its divisors is an integer number (503042881).

Almost surely, 2^1006085761 is an apocalyptic number.

It is an amenable number.

1006085761 is a deficient number, since it is larger than the sum of its proper divisors (1).

1006085761 is an equidigital number, since it uses as much as digits as its factorization.

1006085761 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 10080, while the sum is 34.

The square root of 1006085761 is about 31718.8549761810. The cubic root of 1006085761 is about 1002.0244856919.

The spelling of 1006085761 in words is "one billion, six million, eighty-five thousand, seven hundred sixty-one".