1006218241 has 16 divisors (see below), whose sum is σ = 1171317888. Its totient is φ = 846518400.

The previous prime is 1006218223. The next prime is 1006218271. The reversal of 1006218241 is 1428126001.

It is not a de Polignac number, because 1006218241 - 2²³ = 997829633 is a prime.

It is a super-2 number, since 2×1006218241² = 2024950297042268162, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1006218271) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 220206 + ... + 224728.

It is an arithmetic number, because the mean of its divisors is an integer number (73207368).

Almost surely, 2^1006218241 is an apocalyptic number.

It is an amenable number.

1006218241 is a deficient number, since it is larger than the sum of its proper divisors (165099647).

1006218241 is an equidigital number, since it uses as much as digits as its factorization.

1006218241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5112.

The product of its (nonzero) digits is 768, while the sum is 25.

The square root of 1006218241 is about 31720.9432552060. The cubic root of 1006218241 is about 1002.0684655005.

The spelling of 1006218241 in words is "one billion, six million, two hundred eighteen thousand, two hundred forty-one".