1005055041 has 8 divisors (see below), whose sum is σ = 1341400320. Its totient is φ = 669373232.

The previous prime is 1005055033. The next prime is 1005055049. The reversal of 1005055041 is 1405505001.

It is an interprime number because it is at equal distance from previous prime (1005055033) and next prime (1005055049).

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1005055041 - 2³ = 1005055033 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1005054999 and 1005055017.

It is not an unprimeable number, because it can be changed into a prime (1005055049) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 162321 + ... + 168398.

It is an arithmetic number, because the mean of its divisors is an integer number (167675040).

Almost surely, 2^1005055041 is an apocalyptic number.

It is an amenable number.

1005055041 is a deficient number, since it is larger than the sum of its proper divisors (336345279).

1005055041 is a wasteful number, since it uses less digits than its factorization.

1005055041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331735.

The product of its (nonzero) digits is 500, while the sum is 21.

The square root of 1005055041 is about 31702.6030634710. The cubic root of 1005055041 is about 1001.6821823425.

The spelling of 1005055041 in words is "one billion, five million, fifty-five thousand, forty-one".