1006057781 has 2 divisors, whose sum is σ = 1006057782. Its totient is φ = 1006057780.

The previous prime is 1006057757. The next prime is 1006057783. The reversal of 1006057781 is 1877506001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 928177156 + 77880625 = 30466^2 + 8825^2 .

It is a cyclic number.

It is not a de Polignac number, because 1006057781 - 2²⁶ = 938948917 is a prime.

It is a super-2 number, since 2×1006057781² = 2024304517421287922, which contains 22 as substring.

Together with 1006057783, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1006057783) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 503028890 + 503028891.

It is an arithmetic number, because the mean of its divisors is an integer number (503028891).

Almost surely, 2^1006057781 is an apocalyptic number.

It is an amenable number.

1006057781 is a deficient number, since it is larger than the sum of its proper divisors (1).

1006057781 is an equidigital number, since it uses as much as digits as its factorization.

1006057781 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 11760, while the sum is 35.

The square root of 1006057781 is about 31718.4139105347. The cubic root of 1006057781 is about 1002.0151965881.

The spelling of 1006057781 in words is "one billion, six million, fifty-seven thousand, seven hundred eighty-one".