1006613662041 has 20 divisors (see below), whose sum is σ = 1619376586212. Its totient is φ = 619454560608.

The previous prime is 1006613661953. The next prime is 1006613662051. The reversal of 1006613662041 is 1402663166001.

It is a happy number.

1006613662041 is a `hidden beast` number, since 10 + 0 + 6 + 6 + 13 + 6 + 620 + 4 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 593030907225 + 413582754816 = 770085^2 + 643104^2 .

It is not a de Polignac number, because 1006613662041 - 2¹⁷ = 1006613530969 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1006613661987 and 1006613662005.

It is not an unprimeable number, because it can be changed into a prime (1006613662051) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 477973146 + ... + 477975251.

Almost surely, 2^{1006613662041} is an apocalyptic number.

It is an amenable number.

1006613662041 is a deficient number, since it is larger than the sum of its proper divisors (612762924171).

1006613662041 is an equidigital number, since it uses as much as digits as its factorization.

1006613662041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 955948422 (or 955948413 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 1006613662041 in words is "one trillion, six billion, six hundred thirteen million, six hundred sixty-two thousand, forty-one".