1006144049 has 2 divisors, whose sum is σ = 1006144050. Its totient is φ = 1006144048.

The previous prime is 1006144037. The next prime is 1006144081. The reversal of 1006144049 is 9404416001.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1005207025 + 937024 = 31705^2 + 968^2 .

It is a cyclic number.

It is not a de Polignac number, because 1006144049 - 2⁴ = 1006144033 is a prime.

It is a super-2 number, since 2×1006144049² = 2024651694676228802, which contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (1006144019) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 503072024 + 503072025.

It is an arithmetic number, because the mean of its divisors is an integer number (503072025).

Almost surely, 2^1006144049 is an apocalyptic number.

It is an amenable number.

1006144049 is a deficient number, since it is larger than the sum of its proper divisors (1).

1006144049 is an equidigital number, since it uses as much as digits as its factorization.

1006144049 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3456, while the sum is 29.

The square root of 1006144049 is about 31719.7737854481. The cubic root of 1006144049 is about 1002.0438362210.

The spelling of 1006144049 in words is "one billion, six million, one hundred forty-four thousand, forty-nine".