1006566131 has 2 divisors, whose sum is σ = 1006566132. Its totient is φ = 1006566130.

The previous prime is 1006566061. The next prime is 1006566139. The reversal of 1006566131 is 1316656001.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 1006566131 - 2¹⁰ = 1006565107 is a prime.

It is a super-2 number, since 2×1006566131² = 2026350752152618322, which contains 22 as substring.

It is a Sophie Germain prime.

It is a junction number, because it is equal to n+sod(n) for n = 1006566094 and 1006566103.

It is not a weakly prime, because it can be changed into another prime (1006566139) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 503283065 + 503283066.

It is an arithmetic number, because the mean of its divisors is an integer number (503283066).

Almost surely, 2^1006566131 is an apocalyptic number.

1006566131 is a deficient number, since it is larger than the sum of its proper divisors (1).

1006566131 is an equidigital number, since it uses as much as digits as its factorization.

1006566131 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3240, while the sum is 29.

The square root of 1006566131 is about 31726.4263824339. The cubic root of 1006566131 is about 1002.1839372791.

The spelling of 1006566131 in words is "one billion, six million, five hundred sixty-six thousand, one hundred thirty-one".