1006451581 has 2 divisors, whose sum is σ = 1006451582. Its totient is φ = 1006451580.

The previous prime is 1006451543. The next prime is 1006451591. The reversal of 1006451581 is 1851546001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 974064100 + 32387481 = 31210^2 + 5691^2 .

It is an emirp because it is prime and its reverse (1851546001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1006451581 - 2¹⁷ = 1006320509 is a prime.

It is a super-2 number, since 2×1006451581² = 2025889569794799122, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1006451591) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 503225790 + 503225791.

It is an arithmetic number, because the mean of its divisors is an integer number (503225791).

Almost surely, 2^1006451581 is an apocalyptic number.

It is an amenable number.

1006451581 is a deficient number, since it is larger than the sum of its proper divisors (1).

1006451581 is an equidigital number, since it uses as much as digits as its factorization.

1006451581 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4800, while the sum is 31.

The square root of 1006451581 is about 31724.6210536864. The cubic root of 1006451581 is about 1002.1459187388.

Adding to 1006451581 its reverse (1851546001), we get a palindrome (2857997582).

The spelling of 1006451581 in words is "one billion, six million, four hundred fifty-one thousand, five hundred eighty-one".