1006628881 has 2 divisors, whose sum is σ = 1006628882. Its totient is φ = 1006628880.

The previous prime is 1006628863. The next prime is 1006628899. The reversal of 1006628881 is 1888266001.

It is a balanced prime because it is at equal distance from previous prime (1006628863) and next prime (1006628899).

It can be written as a sum of positive squares in only one way, i.e., 929030400 + 77598481 = 30480^2 + 8809^2 .

It is a cyclic number.

It is not a de Polignac number, because 1006628881 - 2¹¹ = 1006626833 is a prime.

It is a super-2 number, since 2×1006628881² = 2026603408126624322, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (1006628801) 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, 503314440 + 503314441.

It is an arithmetic number, because the mean of its divisors is an integer number (503314441).

Almost surely, 2^1006628881 is an apocalyptic number.

It is an amenable number.

1006628881 is a deficient number, since it is larger than the sum of its proper divisors (1).

1006628881 is an equidigital number, since it uses as much as digits as its factorization.

1006628881 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36864, while the sum is 40.

The square root of 1006628881 is about 31727.4152902502. The cubic root of 1006628881 is about 1002.2047624501.

The spelling of 1006628881 in words is "one billion, six million, six hundred twenty-eight thousand, eight hundred eighty-one".